# 
# RNG: org.apache.commons.rng.core.source32.JDKRandom
# 
# Java: 1.8.0_121
# Runtime: 1.8.0_121-b13
# JVM: Java HotSpot(TM) 64-Bit Server VM 25.121-b13
# OS: Linux 4.14.0-3-amd64 amd64
# 
# Analyzer: ./stdin2testu01 BigCrush 
# 
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
                 Starting BigCrush
                 Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx


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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_MultinomialOver test:
-----------------------------------------------
   N =  1,  n = 1000000000,  r =  0,   d =  256,   t =  3,
       Sparse =  FALSE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =           16777216
       Expected number per cell =   59.604645
       Hashing =  FALSE

   For Delta > -1, we use the ChiSquare approximation
   Correction factor of the ChiSquare: 
       Delta =     1,    Mu =   0.0083558402,    Sigma =          1

-----------------------------------------------
Test Results for Delta =   1.0000

Number of degrees of freedom          : 16711680
Value of the statistic                : 1.99e+9
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:02:06.50

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_MultinomialOver test:
-----------------------------------------------
   N =  1,  n = 1000000000,  r = 22,   d =  256,   t =  3,
       Sparse =  FALSE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =           16777216
       Expected number per cell =   59.604645
       Hashing =  FALSE

   For Delta > -1, we use the ChiSquare approximation
   Correction factor of the ChiSquare: 
       Delta =     1,    Mu =   0.0083558402,    Sigma =          1

-----------------------------------------------
Test Results for Delta =   1.0000

Number of degrees of freedom          : 16711680
Value of the statistic                : 1.67e+7
p-value of test                       :    0.54


-----------------------------------------------
CPU time used                    :  00:02:08.81

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_MultinomialOver test:
-----------------------------------------------
   N = 30,  n = 20000000,  r =  0,   d = 2097152,   t =  2,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =      4398046511104
       Expected number per cell =  1 /  219902.33
       EColl = n^2 / (2k) =  45.47473509
       Hashing =   TRUE

       Collision test

       CollisionOver:   density = n / k =  1 /  219902.33
       Expected number of collisions = Mu =      45.47


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

POISSON approximation                 :
Expected number of collisions = N*Mu  :     1364.24
Observed number of collisions         :        0
p-value of test                       : 1 - eps1    *****

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

  j =  0                              :  131940795333120
  j =  1                              :        600000000
  j =  2                              :                0
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:03:39.74

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_MultinomialOver test:
-----------------------------------------------
   N = 30,  n = 20000000,  r =  9,   d = 2097152,   t =  2,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =      4398046511104
       Expected number per cell =  1 /  219902.33
       EColl = n^2 / (2k) =  45.47473509
       Hashing =   TRUE

       Collision test

       CollisionOver:   density = n / k =  1 /  219902.33
       Expected number of collisions = Mu =      45.47


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

POISSON approximation                 :
Expected number of collisions = N*Mu  :     1364.24
Observed number of collisions         :     1370
p-value of test                       :    0.44

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

  j =  0                              :  131940795334490
  j =  1                              :        599997260
  j =  2                              :             1370
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:03:52.28

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_MultinomialOver test:
-----------------------------------------------
   N = 30,  n = 20000000,  r =  0,   d = 16384,   t =  3,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =      4398046511104
       Expected number per cell =  1 /  219902.33
       EColl = n^2 / (2k) =  45.47473509
       Hashing =   TRUE

       Collision test

       CollisionOver:   density = n / k =  1 /  219902.33
       Expected number of collisions = Mu =      45.47


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

POISSON approximation                 :
Expected number of collisions = N*Mu  :     1364.24
Observed number of collisions         :        0
p-value of test                       : 1 - eps1    *****

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

  j =  0                              :  131940795333120
  j =  1                              :        600000000
  j =  2                              :                0
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:04:39.97

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_MultinomialOver test:
-----------------------------------------------
   N = 30,  n = 20000000,  r = 16,   d = 16384,   t =  3,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =      4398046511104
       Expected number per cell =  1 /  219902.33
       EColl = n^2 / (2k) =  45.47473509
       Hashing =   TRUE

       Collision test

       CollisionOver:   density = n / k =  1 /  219902.33
       Expected number of collisions = Mu =      45.47


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

POISSON approximation                 :
Expected number of collisions = N*Mu  :     1364.24
Observed number of collisions         :     1429
p-value of test                       :    0.04

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

  j =  0                              :  131940795334549
  j =  1                              :        599997142
  j =  2                              :             1429
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:04:43.53

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_MultinomialOver test:
-----------------------------------------------
   N = 30,  n = 20000000,  r =  0,   d =   64,   t =  7,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =      4398046511104
       Expected number per cell =  1 /  219902.33
       EColl = n^2 / (2k) =  45.47473509
       Hashing =   TRUE

       Collision test

       CollisionOver:   density = n / k =  1 /  219902.33
       Expected number of collisions = Mu =      45.47


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

POISSON approximation                 :
Expected number of collisions = N*Mu  :     1364.24
Observed number of collisions         : 348341580
p-value of test                       :   eps      *****

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

  j =  0                              :  131941143674700
  j =  1                              :              180
  j =  2                              :        154974900
  j =  3                              :         96683340
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:04:31.52

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_MultinomialOver test:
-----------------------------------------------
   N = 30,  n = 20000000,  r = 24,   d =   64,   t =  7,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =      4398046511104
       Expected number per cell =  1 /  219902.33
       EColl = n^2 / (2k) =  45.47473509
       Hashing =   TRUE

       Collision test

       CollisionOver:   density = n / k =  1 /  219902.33
       Expected number of collisions = Mu =      45.47


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

POISSON approximation                 :
Expected number of collisions = N*Mu  :     1364.24
Observed number of collisions         :     1335
p-value of test                       :    0.78

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

  j =  0                              :  131940795334455
  j =  1                              :        599997330
  j =  2                              :             1335
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:04:59.75

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_MultinomialOver test:
-----------------------------------------------
   N = 30,  n = 20000000,  r =  0,   d =    8,   t = 14,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =      4398046511104
       Expected number per cell =  1 /  219902.33
       EColl = n^2 / (2k) =  45.47473509
       Hashing =   TRUE

       Collision test

       CollisionOver:   density = n / k =  1 /  219902.33
       Expected number of collisions = Mu =      45.47


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

POISSON approximation                 :
Expected number of collisions = N*Mu  :     1364.24
Observed number of collisions         : 348341378
p-value of test                       :   eps      *****

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

  j =  0                              :  131941143674498
  j =  1                              :              382
  j =  2                              :        154975102
  j =  3                              :         96683138
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:03:28.84

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_MultinomialOver test:
-----------------------------------------------
   N = 30,  n = 20000000,  r = 27,   d =    8,   t = 14,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =      4398046511104
       Expected number per cell =  1 /  219902.33
       EColl = n^2 / (2k) =  45.47473509
       Hashing =   TRUE

       Collision test

       CollisionOver:   density = n / k =  1 /  219902.33
       Expected number of collisions = Mu =      45.47


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

POISSON approximation                 :
Expected number of collisions = N*Mu  :     1364.24
Observed number of collisions         :     1291
p-value of test                       :    0.98

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

  j =  0                              :  131940795334411
  j =  1                              :        599997418
  j =  2                              :             1291
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:04:59.50

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_MultinomialOver test:
-----------------------------------------------
   N = 30,  n = 20000000,  r =  0,   d =    4,   t = 21,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =      4398046511104
       Expected number per cell =  1 /  219902.33
       EColl = n^2 / (2k) =  45.47473509
       Hashing =   TRUE

       Collision test

       CollisionOver:   density = n / k =  1 /  219902.33
       Expected number of collisions = Mu =      45.47


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

POISSON approximation                 :
Expected number of collisions = N*Mu  :     1364.24
Observed number of collisions         : 348341176
p-value of test                       :   eps      *****

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

  j =  0                              :  131941143674296
  j =  1                              :              584
  j =  2                              :        154975304
  j =  3                              :         96682936
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:03:29.40

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_MultinomialOver test:
-----------------------------------------------
   N = 30,  n = 20000000,  r = 28,   d =    4,   t = 21,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =      4398046511104
       Expected number per cell =  1 /  219902.33
       EColl = n^2 / (2k) =  45.47473509
       Hashing =   TRUE

       Collision test

       CollisionOver:   density = n / k =  1 /  219902.33
       Expected number of collisions = Mu =      45.47


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

POISSON approximation                 :
Expected number of collisions = N*Mu  :     1364.24
Observed number of collisions         :     1381
p-value of test                       :    0.33

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

  j =  0                              :  131940795334501
  j =  1                              :        599997238
  j =  2                              :             1381
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:04:59.26

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_BirthdaySpacings test:
-----------------------------------------------
   N = 100,  n = 10000000,  r =  0,    d = 2147483648,    t = 2,    p = 1


      Number of cells = d^t = 4611686018427387904
      Lambda = Poisson mean =      54.2101


----------------------------------------------------
Total expected number = N*Lambda      :    5421.01
Total observed number                 : 11936691
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:05:06.34

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_BirthdaySpacings test:
-----------------------------------------------
   N = 20,  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      :    4336.81
Total observed number                 : 201413956
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:02:19.11

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_BirthdaySpacings test:
-----------------------------------------------
   N = 20,  n = 30000000,  r = 14,    d = 65536,    t = 4,    p = 1


      Number of cells = d^t = 18446744073709551616
      Lambda = Poisson mean =     365.9182


----------------------------------------------------
Total expected number = N*Lambda      :    7318.36
Total observed number                 : 4281237
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:03:59.48

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_BirthdaySpacings test:
-----------------------------------------------
   N = 20,  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      :    4336.81
Total observed number                 : 396240007
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:02:43.17

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_BirthdaySpacings test:
-----------------------------------------------
   N = 20,  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      :    4336.81
Total observed number                 : 313500543
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:03:06.36

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_BirthdaySpacings test:
-----------------------------------------------
   N = 20,  n = 30000000,  r = 14,    d = 256,    t = 8,    p = 1


      Number of cells = d^t = 18446744073709551616
      Lambda = Poisson mean =     365.9182


----------------------------------------------------
Total expected number = N*Lambda      :    7318.36
Total observed number                 : 85311371
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:05:08.34

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_BirthdaySpacings test:
-----------------------------------------------
   N = 20,  n = 30000000,  r = 22,    d = 256,    t = 8,    p = 1


      Number of cells = d^t = 18446744073709551616
      Lambda = Poisson mean =     365.9182


----------------------------------------------------
Total expected number = N*Lambda      :    7318.36
Total observed number                 :  744113
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:05:10.18

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_BirthdaySpacings test:
-----------------------------------------------
   N = 20,  n = 30000000,  r =  0,    d = 16,    t = 16,    p = 1


      Number of cells = d^t = 18446744073709551616
      Lambda = Poisson mean =     365.9182


----------------------------------------------------
Total expected number = N*Lambda      :    7318.36
Total observed number                 : 595350300
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:05:38.71

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_BirthdaySpacings test:
-----------------------------------------------
   N = 20,  n = 30000000,  r = 26,    d = 16,    t = 16,    p = 1


      Number of cells = d^t = 18446744073709551616
      Lambda = Poisson mean =     365.9182


----------------------------------------------------
Total expected number = N*Lambda      :    7318.36
Total observed number                 : 5162401
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:07:32.39

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


snpair_ClosePairs test:
-----------------------------------------------
   N = 30,  n = 6000000,  r =  0,  t = 3,  p = 0,  m = 30,  Torus =  TRUE

*********  WARNING in file  ../../probdist/gofs.c  on line  462
*********  gofs_AndersonDarling:   N <= 0
*********  WARNING in file  ../../probdist/fbar.c  on line  499
*********  fbar_AndersonDarling:   N < 1

---------------------------------------
Test based on the 2 nearest points (NP):

Stat. AD on the N values (NP)         : 1072.10
p-value of test                       :   eps      *****


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)    :  661.41
p-value of test                       :2.2e-289    *****

Test on the Nm values of W_{n,i}(mNP1):  681.79
p-value of test                       :3.0e-298    *****

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

Expected number of jumps of Y = mN    :     900
Number of jumps of Y                  :       0
p-value of test                       : 1 - eps1    *****

-----------------------------------------------
CPU time used                    :  00:03:45.14

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


snpair_ClosePairs test:
-----------------------------------------------
   N = 20,  n = 4000000,  r =  0,  t = 5,  p = 0,  m = 30,  Torus =  TRUE

*********  WARNING in file  ../../probdist/gofs.c  on line  462
*********  gofs_AndersonDarling:   N <= 0
*********  WARNING in file  ../../probdist/fbar.c  on line  499
*********  fbar_AndersonDarling:   N < 1

---------------------------------------
Test based on the 2 nearest points (NP):

Stat. AD on the N values (NP)         :  714.74
p-value of test                       :   eps      *****


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)    :  714.74
p-value of test                       :   eps      *****

Test on the Nm values of W_{n,i}(mNP1):15158.86
p-value of test                       :   eps      *****

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

Expected number of jumps of Y = mN    :     600
Number of jumps of Y                  :       0
p-value of test                       : 1 - eps1    *****

-----------------------------------------------
CPU time used                    :  00:24:15.35

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


snpair_ClosePairs test:
-----------------------------------------------
   N = 10,  n = 3000000,  r =  0,  t = 9,  p = 0,  m = 30,  Torus =  TRUE

*********  WARNING in file  ../../probdist/gofs.c  on line  462
*********  gofs_AndersonDarling:   N <= 0
*********  WARNING in file  ../../probdist/fbar.c  on line  499
*********  fbar_AndersonDarling:   N < 1

---------------------------------------
Test based on the 2 nearest points (NP):

Stat. AD on the N values (NP)         :  357.37
p-value of test                       :3.2e-157    *****


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)    :  357.37
p-value of test                       :3.2e-157    *****

Test on the Nm values of W_{n,i}(mNP1): 8035.42
p-value of test                       :   eps      *****

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

Expected number of jumps of Y = mN    :     300
Number of jumps of Y                  :       0
p-value of test                       : 1 - eps1    *****

-----------------------------------------------
CPU time used                    :  00:38:54.21

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


snpair_ClosePairs test:
-----------------------------------------------
   N =  5,  n = 2000000,  r =  0,  t = 16,  p = 0,  m = 30,  Torus =  TRUE

*********  WARNING in file  ../../testu01/snpair.c  on line  294
*********  res->NumClose > 50000
*********  WARNING in file  ../../testu01/snpair.c  on line  294
*********  res->NumClose > 50000
*********  WARNING in file  ../../testu01/snpair.c  on line  294
*********  res->NumClose > 50000
*********  WARNING in file  ../../testu01/snpair.c  on line  294
*********  res->NumClose > 50000
*********  WARNING in file  ../../testu01/snpair.c  on line  294
*********  res->NumClose > 50000

---------------------------------------
Test based on the 2 nearest points (NP):

Stat. AD on the N values (NP)         :  178.68
p-value of test                       : 1.8e-79    *****


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)    :  178.68
p-value of test                       : 1.8e-79    *****

Test on the Nm values of W_{n,i}(mNP1): 5360.52
p-value of test                       :   eps      *****

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

Expected number of jumps of Y = mN    :     150
Number of jumps of Y                  > 250000     *****
p-value of test                       :   eps      *****

Stat. AD (mNP2)                       : 8.93e+6
p-value of test                       :   eps      *****

Stat. AD after spacings (mNP2-S)      : 8.93e+6
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:04:06.84

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_SimpPoker test:
-----------------------------------------------
   N =  1,  n = 400000000,  r =  0,   d =    8,   k =    8


-----------------------------------------------
Number of degrees of freedom          :    7
Chi-square statistic                  : 6270.24
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:01:53.84

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_SimpPoker test:
-----------------------------------------------
   N =  1,  n = 400000000,  r = 27,   d =    8,   k =    8


-----------------------------------------------
Number of degrees of freedom          :    7
Chi-square statistic                  :   16.59
p-value of test                       :    0.02

-----------------------------------------------
CPU time used                    :  00:02:11.79

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_SimpPoker test:
-----------------------------------------------
   N =  1,  n = 100000000,  r =  0,   d =   32,   k =   32


-----------------------------------------------
Number of degrees of freedom          :   18
Chi-square statistic                  :29373.31
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:01:40.47

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_SimpPoker test:
-----------------------------------------------
   N =  1,  n = 100000000,  r = 25,   d =   32,   k =   32


-----------------------------------------------
Number of degrees of freedom          :   18
Chi-square statistic                  :   17.97
p-value of test                       :    0.46

-----------------------------------------------
CPU time used                    :  00:01:56.27

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_CouponCollector test:
-----------------------------------------------
   N =  1,  n = 200000000,  r =  0,   d =    8


-----------------------------------------------
Number of degrees of freedom          :   54
Chi-square statistic                  : 2.45e+5
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:02:16.11

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_CouponCollector test:
-----------------------------------------------
   N =  1,  n = 200000000,  r = 10,   d =    8


-----------------------------------------------
Number of degrees of freedom          :   54
Chi-square statistic                  : 3198.43
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:02:34.92

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_CouponCollector test:
-----------------------------------------------
   N =  1,  n = 200000000,  r = 20,   d =    8


-----------------------------------------------
Number of degrees of freedom          :   54
Chi-square statistic                  :   43.30
p-value of test                       :    0.85

-----------------------------------------------
CPU time used                    :  00:02:37.21

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_CouponCollector test:
-----------------------------------------------
   N =  1,  n = 200000000,  r = 27,   d =    8


-----------------------------------------------
Number of degrees of freedom          :   54
Chi-square statistic                  :   41.40
p-value of test                       :    0.90

-----------------------------------------------
CPU time used                    :  00:02:38.20

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_Gap test:
-----------------------------------------------
   N =  1,  n = 500000000,  r =  0,   Alpha =        0,   Beta  =   0.0625


-----------------------------------------------
Number of degrees of freedom          :  232
Chi-square statistic                  : 2.07e+5
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:03:09.62

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_Gap test:
-----------------------------------------------
   N =  1,  n = 300000000,  r = 25,   Alpha =        0,   Beta  =  0.03125


-----------------------------------------------
Number of degrees of freedom          :  434
Chi-square statistic                  :  434.10
p-value of test                       :    0.49

-----------------------------------------------
CPU time used                    :  00:04:29.43

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_Gap test:
-----------------------------------------------
   N =  1,  n = 100000000,  r =  0,   Alpha =        0,   Beta  = 0.0078125


-----------------------------------------------
Number of degrees of freedom          : 1437
Chi-square statistic                  : 1.90e+6
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:05:16.67

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_Gap test:
-----------------------------------------------
   N =  1,  n = 10000000,  r = 20,   Alpha =        0,   Beta  = 0.000976562


-----------------------------------------------
Number of degrees of freedom          : 7046
Chi-square statistic                  : 7059.82
p-value of test                       :    0.45

-----------------------------------------------
CPU time used                    :  00:05:00.86

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_Run test:
-----------------------------------------------
   N =  5,  n = 1000000000,  r =  0,   Up = FALSE


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

Kolmogorov-Smirnov+ statistic = D+    :    0.37
p-value of test                       :    0.20

Kolmogorov-Smirnov- statistic = D-    :    0.54
p-value of test                       :    0.04

Anderson-Darling statistic = A2       :    1.72
p-value of test                       :    0.13

Test on the sum of all N observations
Number of degrees of freedom          :   30
Chi-square statistic                  :   30.35
p-value of test                       :    0.45

-----------------------------------------------
CPU time used                    :  00:02:33.67

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_Run test:
-----------------------------------------------
   N = 10,  n = 1000000000,  r = 15,   Up =  TRUE


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

Kolmogorov-Smirnov+ statistic = D+    :    0.10
p-value of test                       :    0.75

Kolmogorov-Smirnov- statistic = D-    :    0.18
p-value of test                       :    0.45

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

Test on the sum of all N observations
Number of degrees of freedom          :   60
Chi-square statistic                  :   70.96
p-value of test                       :    0.16

-----------------------------------------------
CPU time used                    :  00:05:59.82

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_Multinomial test:
-----------------------------------------------
   N =  1,  n = 1000000000,  r =  5,   t =  3,
       Sparse =  FALSE

       GenerCell = smultin_GenerCellPermut
       Number of cells = t! =                  6
       Expected number per cell =  1.6666667e+08
       Hashing =  FALSE

   For Delta > -1, we use the ChiSquare approximation
   Correction factor of the ChiSquare: 
       Delta =     1,    Mu =  2.5000002e-09,    Sigma =          1

-----------------------------------------------
Test Results for Delta =   1.0000

Number of degrees of freedom          :    5
Value of the statistic                :  282.20
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:01:46.47

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_Multinomial test:
-----------------------------------------------
   N =  1,  n = 1000000000,  r =  5,   t =  5,
       Sparse =  FALSE

       GenerCell = smultin_GenerCellPermut
       Number of cells = t! =                120
       Expected number per cell =   8333333.3
       Hashing =  FALSE

   For Delta > -1, we use the ChiSquare approximation
   Correction factor of the ChiSquare: 
       Delta =     1,    Mu =  5.9500005e-08,    Sigma =          1

-----------------------------------------------
Test Results for Delta =   1.0000

Number of degrees of freedom          :  119
Value of the statistic                :24901.07
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:03:02.00

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_Multinomial test:
-----------------------------------------------
   N =  1,  n = 500000000,  r =  5,   t =  7,
       Sparse =  FALSE

       GenerCell = smultin_GenerCellPermut
       Number of cells = t! =               5040
       Expected number per cell =   99206.349
       Hashing =  FALSE

   For Delta > -1, we use the ChiSquare approximation
   Correction factor of the ChiSquare: 
       Delta =     1,    Mu =  5.0390004e-06,    Sigma =          1

-----------------------------------------------
Test Results for Delta =   1.0000

Number of degrees of freedom          : 5039
Value of the statistic                : 1.85e+6
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:02:18.27

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_Multinomial test:
-----------------------------------------------
   N =  1,  n = 500000000,  r = 10,   t = 10,
       Sparse =  FALSE

       GenerCell = smultin_GenerCellPermut
       Number of cells = t! =            3628800
       Expected number per cell =    137.7866
       Hashing =  FALSE

   For Delta > -1, we use the ChiSquare approximation
   Correction factor of the ChiSquare: 
       Delta =     1,    Mu =   0.0036287993,    Sigma =          1

-----------------------------------------------
Test Results for Delta =   1.0000

Number of degrees of freedom          : 3628799
Value of the statistic                : 5.80e+6
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:04:03.70

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_Multinomial test:
-----------------------------------------------
   N = 20,  n = 20000000,  r =  0,   t = 14,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellPermut
       Number of cells = t! =        87178291200
       Expected number per cell =  1 /  4358.9146
       EColl = n^2 / (2k) =   2294.14912
       Hashing =   TRUE

       Collision test,    Mu =      2293.9736,    Sigma =    47.8841

-----------------------------------------------
Test Results for Collisions

For the total number of collisions, we use
      the Poisson approximation:
Expected number of collisions = N*Mu  :    45879.47
Observed number of collisions         : 305497330
p-value of test                       :   eps      *****


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

  j =  0                              :    1743471321330
  j =  1                              :          9453257
  j =  2                              :         13753569
  j =  3                              :         11158250
  j =  4                              :         14996033
  j =  5                              :         35038848

-----------------------------------------------
CPU time used                    :  00:04:46.72

Generator state:
N/A



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

***********************************************************
HOST = gaianss, Linux

stdin


smultin_Multinomial test:
-----------------------------------------------
   N = 20,  n = 20000000,  r = 10,   t = 14,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellPermut
       Number of cells = t! =        87178291200
       Expected number per cell =  1 /  4358.9146
       EColl = n^2 / (2k) =   2294.14912
       Hashing =   TRUE

       Collision test,    Mu =      2293.9736,    Sigma =    47.8841

-----------------------------------------------
Test Results for Collisions

For the total number of collisions, we use
      the Poisson approximation:
Expected number of collisions = N*Mu  :    45879.47
Observed number of collisions         :    34450
p-value of test                       : 1 - eps1    *****


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

  j =  0                              :    1743165858450
  j =  1                              :        399931102
  j =  2                              :            34446
  j =  3                              :                2
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:05:37.96

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_MaxOft test:
-----------------------------------------------
   N = 40,  n = 10000000,  r =  0,   d = 100000,   t =  8

      Number of categories = 100000
      Expected number per category  = 100.00


-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:

Kolmogorov-Smirnov+ statistic = D+    :    0.29
p-value of test                       :  1.1e-3

Kolmogorov-Smirnov- statistic = D-    : 1.22e-3
p-value of test                       :    0.9987

Anderson-Darling statistic = A2       :    4.31
p-value of test                       :  6.2e-3

Test on the sum of all N observations
Number of degrees of freedom          : 3999960
Chi-square statistic                  : 3.99e+6
p-value of test                       :    0.9984


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

Kolmogorov-Smirnov+ statistic = D+    : 7.58e-4
p-value of test                       :    0.9992    *****

Kolmogorov-Smirnov- statistic = D-    :    0.90
p-value of test                       : 1.5e-41    *****

Anderson-Darling statistic = A2       :  114.74
p-value of test                       : 1.3e-51    *****


-----------------------------------------------
CPU time used                    :  00:04:14.45

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_MaxOft test:
-----------------------------------------------
   N = 30,  n = 10000000,  r =  0,   d = 100000,   t = 16

      Number of categories = 100000
      Expected number per category  = 100.00


-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:

Kolmogorov-Smirnov+ statistic = D+    : 2.63e-4
p-value of test                       :    0.9997    *****

Kolmogorov-Smirnov- statistic = D-    :    0.63
p-value of test                       : 2.5e-12    *****

Anderson-Darling statistic = A2       :   34.52
p-value of test                       : 1.7e-16    *****

Test on the sum of all N observations
Number of degrees of freedom          : 2999970
Chi-square statistic                  : 3.02e+6
p-value of test                       : 7.7e-18    *****


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

Kolmogorov-Smirnov+ statistic = D+    :    0.85
p-value of test                       : 2.2e-25    *****

Kolmogorov-Smirnov- statistic = D-    :    0.10
p-value of test                       :    0.49

Anderson-Darling statistic = A2       :   33.28
p-value of test                       : 6.0e-16    *****


-----------------------------------------------
CPU time used                    :  00:04:15.55

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_MaxOft test:
-----------------------------------------------
   N = 20,  n = 10000000,  r =  0,   d = 100000,   t = 24

      Number of categories = 100000
      Expected number per category  = 100.00


-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:

Kolmogorov-Smirnov+ statistic = D+    :    0.32
p-value of test                       :    0.01

Kolmogorov-Smirnov- statistic = D-    : 2.41e-3
p-value of test                       :    0.9975

Anderson-Darling statistic = A2       :    2.86
p-value of test                       :    0.03

Test on the sum of all N observations
Number of degrees of freedom          : 1999980
Chi-square statistic                  : 2.00e+6
p-value of test                       :    0.9901


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

Kolmogorov-Smirnov+ statistic = D+    :    0.62
p-value of test                       :  4.0e-8    *****

Kolmogorov-Smirnov- statistic = D-    :    0.27
p-value of test                       :    0.05

Anderson-Darling statistic = A2       :    8.59
p-value of test                       :  6.5e-5    *****


-----------------------------------------------
CPU time used                    :  00:03:30.57

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sknuth_MaxOft test:
-----------------------------------------------
   N = 20,  n = 10000000,  r =  0,   d = 100000,   t = 32

      Number of categories = 100000
      Expected number per category  = 100.00


-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:

Kolmogorov-Smirnov+ statistic = D+    : 1.48e-5
p-value of test                       : 1 -  1.5e-5    *****

Kolmogorov-Smirnov- statistic = D-    :    0.83
p-value of test                       : 5.8e-16    *****

Anderson-Darling statistic = A2       :   46.59
p-value of test                       : 8.4e-22    *****

Test on the sum of all N observations
Number of degrees of freedom          : 1999980
Chi-square statistic                  : 2.02e+6
p-value of test                       : 1.1e-23    *****


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

Kolmogorov-Smirnov+ statistic = D+    :    1.00
p-value of test                       :6.3e-141    *****

Kolmogorov-Smirnov- statistic = D-    : 1.76e-8
p-value of test                       : 1 -  1.8e-8    *****

Anderson-Darling statistic = A2       :  310.60
p-value of test                       :7.1e-137    *****


-----------------------------------------------
CPU time used                    :  00:04:09.89

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_SampleProd test:
-----------------------------------------------
   N = 40,  n = 10000000,  r =  0,   t = 8


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

Kolmogorov-Smirnov+ statistic = D+    :    0.25
p-value of test                       :  6.1e-3

Kolmogorov-Smirnov- statistic = D-    :    0.60
p-value of test                       : 1.6e-14    *****

Anderson-Darling statistic = A2       :   17.80
p-value of test                       :  4.3e-9    *****

-----------------------------------------------
CPU time used                    :  00:03:10.06

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_SampleProd test:
-----------------------------------------------
   N = 20,  n = 10000000,  r =  0,   t = 16


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

Kolmogorov-Smirnov+ statistic = D+    :    1.00
p-value of test                       : 1.1e-80    *****

Kolmogorov-Smirnov- statistic = D-    : 3.97e-5
p-value of test                       : 1 -  4.0e-5    *****

Anderson-Darling statistic = A2       :  171.91
p-value of test                       : 1.6e-76    *****

-----------------------------------------------
CPU time used                    :  00:02:26.20

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_SampleProd test:
-----------------------------------------------
   N = 20,  n = 10000000,  r =  0,   t = 24


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

Kolmogorov-Smirnov+ statistic = D+    :    0.98
p-value of test                       : 2.9e-34    *****

Kolmogorov-Smirnov- statistic = D-    :   0.010
p-value of test                       :    0.99

Anderson-Darling statistic = A2       :   62.51
p-value of test                       : 8.8e-29    *****

-----------------------------------------------
CPU time used                    :  00:03:10.29

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_SampleMean test:
-----------------------------------------------
   N = 20000000,  n = 30,  r =  0


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

Kolmogorov-Smirnov+ statistic = D+    : 2.58e-4
p-value of test                       :    0.07

Kolmogorov-Smirnov- statistic = D-    : 2.24e-4
p-value of test                       :    0.14

Anderson-Darling statistic = A2       :    1.71
p-value of test                       :    0.13

-----------------------------------------------
CPU time used                    :  00:00:42.79

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_SampleMean test:
-----------------------------------------------
   N = 20000000,  n = 30,  r = 10


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

Kolmogorov-Smirnov+ statistic = D+    : 1.04e-4
p-value of test                       :    0.65

Kolmogorov-Smirnov- statistic = D-    : 1.04e-4
p-value of test                       :    0.65

Anderson-Darling statistic = A2       :    0.32
p-value of test                       :    0.92

-----------------------------------------------
CPU time used                    :  00:00:46.18

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_SampleCorr test:
-----------------------------------------------
   N =  1,  n = 2000000000,  r =  0,   k = 1


-----------------------------------------------
Normal statistic                      : -2.08e-3
p-value of test                       :    0.50

-----------------------------------------------
CPU time used                    :  00:00:55.32

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_SampleCorr test:
-----------------------------------------------
   N =  1,  n = 2000000000,  r =  0,   k = 2


-----------------------------------------------
Normal statistic                      :  -0.037
p-value of test                       :    0.51

-----------------------------------------------
CPU time used                    :  00:00:55.45

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_AppearanceSpacings test:
-----------------------------------------------
   N =  1,   Q = 10000000,   K = 1000000000,   r = 0,   s = 3,   L = 15

   Sequences of n = (K + Q)L =  15150000000 bits
   Q = 10000000 initialization blocks
   K = 1000000000 blocks for the test
   the blocks have L = 15 bits



-----------------------------------------------
Normal statistic                      :   87.23
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:02:47.47

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_AppearanceSpacings test:
-----------------------------------------------
   N =  1,   Q = 10000000,   K = 1000000000,   r = 27,   s = 3,   L = 15

   Sequences of n = (K + Q)L =  15150000000 bits
   Q = 10000000 initialization blocks
   K = 1000000000 blocks for the test
   the blocks have L = 15 bits



-----------------------------------------------
Normal statistic                      :   -1.23
p-value of test                       :    0.89

-----------------------------------------------
CPU time used                    :  00:02:51.30

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_WeightDistrib test:
-----------------------------------------------
   N =  1,  n = 20000000,  r =  0,  k = 256,  Alpha =      0,  Beta =   0.25


-----------------------------------------------
Number of degrees of freedom          :   67
Chi-square statistic                  :56589.47
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:02:10.18

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_WeightDistrib test:
-----------------------------------------------
   N =  1,  n = 20000000,  r = 20,  k = 256,  Alpha =      0,  Beta =   0.25


-----------------------------------------------
Number of degrees of freedom          :   67
Chi-square statistic                  :   93.00
p-value of test                       :    0.02

-----------------------------------------------
CPU time used                    :  00:02:34.14

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_WeightDistrib test:
-----------------------------------------------
   N =  1,  n = 20000000,  r = 28,  k = 256,  Alpha =      0,  Beta =   0.25


-----------------------------------------------
Number of degrees of freedom          :   67
Chi-square statistic                  :   70.53
p-value of test                       :    0.36

-----------------------------------------------
CPU time used                    :  00:02:34.50

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_WeightDistrib test:
-----------------------------------------------
   N =  1,  n = 20000000,  r =  0,  k = 256,  Alpha =      0,  Beta = 0.0625


-----------------------------------------------
Number of degrees of freedom          :   37
Chi-square statistic                  :14182.94
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:02:10.11

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_WeightDistrib test:
-----------------------------------------------
   N =  1,  n = 20000000,  r = 10,  k = 256,  Alpha =      0,  Beta = 0.0625


-----------------------------------------------
Number of degrees of freedom          :   37
Chi-square statistic                  :  392.68
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:02:35.54

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_WeightDistrib test:
-----------------------------------------------
   N =  1,  n = 20000000,  r = 26,  k = 256,  Alpha =      0,  Beta = 0.0625


-----------------------------------------------
Number of degrees of freedom          :   37
Chi-square statistic                  :   27.02
p-value of test                       :    0.89

-----------------------------------------------
CPU time used                    :  00:02:39.72

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


svaria_SumCollector test:
-----------------------------------------------
   N =  1,  n = 500000000,  r =  0,   g = 10


-----------------------------------------------
Number of degrees of freedom          :   29
Chi-square statistic                  :29217.86
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:04:26.47

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_MatrixRank test:
-----------------------------------------------
   N = 10,  n = 1000000,  r =  0,    s = 5,    L = 30,    k = 30


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

Kolmogorov-Smirnov+ statistic = D+    :   0.036
p-value of test                       :    0.95

Kolmogorov-Smirnov- statistic = D-    :    0.48
p-value of test                       :  6.6e-3

Anderson-Darling statistic = A2       :    5.34
p-value of test                       :  2.1e-3

Test on the sum of all N observations
Number of degrees of freedom          :   40
Chi-square statistic                  :   67.44
p-value of test                       :  4.3e-3

-----------------------------------------------
CPU time used                    :  00:02:03.50

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_MatrixRank test:
-----------------------------------------------
   N = 10,  n = 1000000,  r = 25,    s = 5,    L = 30,    k = 30


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

Kolmogorov-Smirnov+ statistic = D+    :    0.17
p-value of test                       :    0.50

Kolmogorov-Smirnov- statistic = D-    :    0.23
p-value of test                       :    0.30

Anderson-Darling statistic = A2       :    0.93
p-value of test                       :    0.39

Test on the sum of all N observations
Number of degrees of freedom          :   40
Chi-square statistic                  :   36.58
p-value of test                       :    0.62

-----------------------------------------------
CPU time used                    :  00:02:02.27

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_MatrixRank test:
-----------------------------------------------
   N =  1,  n = 5000,  r =  0,    s = 4,    L = 1000,    k = 1000


-----------------------------------------------
Number of degrees of freedom          :    3
Chi-square statistic                  :    2.87
p-value of test                       :    0.41

-----------------------------------------------
CPU time used                    :  00:03:10.47

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_MatrixRank test:
-----------------------------------------------
   N =  1,  n = 5000,  r = 26,    s = 4,    L = 1000,    k = 1000


-----------------------------------------------
Number of degrees of freedom          :    3
Chi-square statistic                  :    3.39
p-value of test                       :    0.33

-----------------------------------------------
CPU time used                    :  00:03:09.75

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_MatrixRank test:
-----------------------------------------------
   N =  1,  n = 80,  r = 15,    s = 15,    L = 5000,    k = 5000


-----------------------------------------------
Number of degrees of freedom          :    2
Chi-square statistic                  :    2.35
p-value of test                       :    0.31

-----------------------------------------------
CPU time used                    :  00:02:04.47

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_MatrixRank test:
-----------------------------------------------
   N =  1,  n = 80,  r =  0,    s = 30,    L = 5000,    k = 5000


-----------------------------------------------
Number of degrees of freedom          :    2
Chi-square statistic                  :    1.18
p-value of test                       :    0.55

-----------------------------------------------
CPU time used                    :  00:01:42.95

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_Savir2 test:
-----------------------------------------------
   N = 10,  n = 10000000,  r = 10,    m = 1048576,    t = 30


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

Kolmogorov-Smirnov+ statistic = D+    :    0.17
p-value of test                       :    0.51

Kolmogorov-Smirnov- statistic = D-    :    0.19
p-value of test                       :    0.42

Anderson-Darling statistic = A2       :    0.51
p-value of test                       :    0.73

Test on the sum of all N observations
Number of degrees of freedom          :  130
Chi-square statistic                  :  135.52
p-value of test                       :    0.35

-----------------------------------------------
CPU time used                    :  00:01:30.08

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


smarsa_GCD test:
-----------------------------------------------
   N = 10,  n = 50000000,  r =  0,   s = 30


-----------------------------------------------
Test results for GCD values:

Kolmogorov-Smirnov+ statistic = D+    :    0.39
p-value of test                       :    0.04

Kolmogorov-Smirnov- statistic = D-    :    0.12
p-value of test                       :    0.70

Anderson-Darling statistic = A2       :    2.50
p-value of test                       :    0.05

Test on the sum of all N observations
Number of degrees of freedom          : 17430
Chi-square statistic                  :17121.62
p-value of test                       :    0.95



-----------------------------------------------
CPU time used                    :  00:02:04.40

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


swalk_RandomWalk1 test:
-----------------------------------------------
   N =  1,  n = 100000000,  r =  0,   s = 5,   L0 =   50,   L1 =   50



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

Number of degrees of freedom          :   36
ChiSquare statistic                   :  726.76
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   35
ChiSquare statistic                   :  612.04
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   25
ChiSquare statistic                   :  469.34
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   24
ChiSquare statistic                   :  493.90
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   17
ChiSquare statistic                   :  240.24
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:01:10.81

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


swalk_RandomWalk1 test:
-----------------------------------------------
   N =  1,  n = 100000000,  r = 25,   s = 5,   L0 =   50,   L1 =   50



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

Number of degrees of freedom          :   36
ChiSquare statistic                   :   40.15
p-value of test                       :    0.29


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

Number of degrees of freedom          :   35
ChiSquare statistic                   :   27.09
p-value of test                       :    0.83


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

Number of degrees of freedom          :   25
ChiSquare statistic                   :   28.68
p-value of test                       :    0.28


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

Number of degrees of freedom          :   24
ChiSquare statistic                   :   15.48
p-value of test                       :    0.91


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

Number of degrees of freedom          :   17
ChiSquare statistic                   :   14.41
p-value of test                       :    0.64


-----------------------------------------------
CPU time used                    :  00:01:11.27

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


swalk_RandomWalk1 test:
-----------------------------------------------
   N =  1,  n = 10000000,  r =  0,   s = 10,   L0 = 1000,   L1 = 1000



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

Number of degrees of freedom          :  146
ChiSquare statistic                   :  184.00
p-value of test                       :    0.02


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

Number of degrees of freedom          :  146
ChiSquare statistic                   :  196.68
p-value of test                       :  3.3e-3


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

Number of degrees of freedom          :  500
ChiSquare statistic                   :  578.10
p-value of test                       :  8.8e-3


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

Number of degrees of freedom          :  136
ChiSquare statistic                   :  168.87
p-value of test                       :    0.03


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

Number of degrees of freedom          :   74
ChiSquare statistic                   :  125.05
p-value of test                       :  1.9e-4    *****


-----------------------------------------------
CPU time used                    :  00:01:28.13

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


swalk_RandomWalk1 test:
-----------------------------------------------
   N =  1,  n = 10000000,  r = 20,   s = 10,   L0 = 1000,   L1 = 1000



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

Number of degrees of freedom          :  146
ChiSquare statistic                   :  123.44
p-value of test                       :    0.91


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

Number of degrees of freedom          :  146
ChiSquare statistic                   :  132.70
p-value of test                       :    0.78


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

Number of degrees of freedom          :  500
ChiSquare statistic                   :  506.21
p-value of test                       :    0.41


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

Number of degrees of freedom          :  136
ChiSquare statistic                   :  112.94
p-value of test                       :    0.93


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

Number of degrees of freedom          :   74
ChiSquare statistic                   :   47.00
p-value of test                       :    0.9940


-----------------------------------------------
CPU time used                    :  00:01:29.75

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


swalk_RandomWalk1 test:
-----------------------------------------------
   N =  1,  n = 1000000,  r =  0,   s = 15,   L0 = 10000,   L1 = 10000



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

Number of degrees of freedom          :  384
ChiSquare statistic                   :  428.75
p-value of test                       :    0.06


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

Number of degrees of freedom          :  384
ChiSquare statistic                   :  367.85
p-value of test                       :    0.71


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

Number of degrees of freedom          : 5000
ChiSquare statistic                   : 4929.65
p-value of test                       :    0.76


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

Number of degrees of freedom          :  378
ChiSquare statistic                   :  352.53
p-value of test                       :    0.82


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

Number of degrees of freedom          :  200
ChiSquare statistic                   :  177.91
p-value of test                       :    0.87


-----------------------------------------------
CPU time used                    :  00:01:14.86

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


swalk_RandomWalk1 test:
-----------------------------------------------
   N =  1,  n = 1000000,  r = 15,   s = 15,   L0 = 10000,   L1 = 10000



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

Number of degrees of freedom          :  384
ChiSquare statistic                   :  427.20
p-value of test                       :    0.06


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

Number of degrees of freedom          :  384
ChiSquare statistic                   :  415.72
p-value of test                       :    0.13


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

Number of degrees of freedom          : 5000
ChiSquare statistic                   : 5090.46
p-value of test                       :    0.18


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

Number of degrees of freedom          :  378
ChiSquare statistic                   :  371.28
p-value of test                       :    0.59


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

Number of degrees of freedom          :  200
ChiSquare statistic                   :  226.61
p-value of test                       :    0.10


-----------------------------------------------
CPU time used                    :  00:01:15.36

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


scomp_LinearComp test:
-----------------------------------------------
   N =  1,  n = 400020,  r =  0,    s = 1



-----------------------------------------------
Number of degrees of freedom          :   12
Chi2 statistic for size of jumps      :    7.87
p-value of test                       :    0.80


-----------------------------------------------
Normal statistic for number of jumps  :   -0.49
p-value of test                       :    0.69



-----------------------------------------------
CPU time used                    :  00:02:52.93

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


scomp_LinearComp test:
-----------------------------------------------
   N =  1,  n = 400020,  r = 29,    s = 1



-----------------------------------------------
Number of degrees of freedom          :   12
Chi2 statistic for size of jumps      :   10.55
p-value of test                       :    0.57


-----------------------------------------------
Normal statistic for number of jumps  :    1.05
p-value of test                       :    0.15



-----------------------------------------------
CPU time used                    :  00:02:50.93

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


scomp_LempelZiv test:
-----------------------------------------------
   N = 10,  n = 134217728,  r =  0,   s =   30,   k =   27


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

Kolmogorov-Smirnov+ statistic = D+    :    0.33
p-value of test                       :    0.09

Kolmogorov-Smirnov- statistic = D-    :   0.077
p-value of test                       :    0.85

Anderson-Darling statistic = A2       :    0.87
p-value of test                       :    0.43

Tests on the sum of all N observations
Standardized normal statistic         :   -0.91
p-value of test                       :    0.82

Sample variance                       :    1.12
p-value of test                       :    0.34

-----------------------------------------------
CPU time used                    :  00:00:59.06

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


scomp_LempelZiv test:
-----------------------------------------------
   N = 10,  n = 134217728,  r = 15,   s =   15,   k =   27


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

Kolmogorov-Smirnov+ statistic = D+    :    0.20
p-value of test                       :    0.38

Kolmogorov-Smirnov- statistic = D-    :   0.062
p-value of test                       :    0.89

Anderson-Darling statistic = A2       :    0.93
p-value of test                       :    0.39

Tests on the sum of all N observations
Standardized normal statistic         :   -1.27
p-value of test                       :    0.90

Sample variance                       :    1.84
p-value of test                       :    0.06

-----------------------------------------------
CPU time used                    :  00:00:59.65

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sspectral_Fourier3 test:
-----------------------------------------------
   N = 100000,  n = 16384,  r =  0,   s =    3,   k =   14


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

Kolmogorov-Smirnov+ statistic = D+    :   0.045
p-value of test                       :  5.4e-8    *****

Kolmogorov-Smirnov- statistic = D-    :   0.046
p-value of test                       :  3.5e-8    *****

Anderson-Darling statistic = A2       :   31.71
p-value of test                       : 2.9e-15    *****

-----------------------------------------------
CPU time used                    :  00:00:57.25

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sspectral_Fourier3 test:
-----------------------------------------------
   N = 100000,  n = 16384,  r = 27,   s =    3,   k =   14


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

Kolmogorov-Smirnov+ statistic = D+    :   0.011
p-value of test                       :    0.35

Kolmogorov-Smirnov- statistic = D-    : 7.44e-3
p-value of test                       :    0.63

Anderson-Darling statistic = A2       :    0.73
p-value of test                       :    0.53

-----------------------------------------------
CPU time used                    :  00:00:56.75

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_LongestHeadRun test:
-----------------------------------------------
   N =  1,  n = 1000,  r =  0,   s = 3,   L = 10000020


-----------------------------------------------
Number of degrees of freedom          :    8
Chi-square statistic                  : 1269.45
p-value of test                       :   eps      *****

-----------------------------------------------
Global longest run of 1               :   23.00
p-value of test                       : 1 - eps1    *****



-----------------------------------------------
CPU time used                    :  00:02:15.95

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_LongestHeadRun test:
-----------------------------------------------
   N =  1,  n = 1000,  r = 27,   s = 3,   L = 10000020


-----------------------------------------------
Number of degrees of freedom          :    8
Chi-square statistic                  :    7.27
p-value of test                       :    0.51

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



-----------------------------------------------
CPU time used                    :  00:02:18.75

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_PeriodsInStrings test:
-----------------------------------------------
   N = 10,  n = 500000000,  r =  0,   s =   10


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

Kolmogorov-Smirnov+ statistic = D+    :   0.014
p-value of test                       :    0.98

Kolmogorov-Smirnov- statistic = D-    :    0.44
p-value of test                       :    0.01

Anderson-Darling statistic = A2       :    3.92
p-value of test                       :  9.9e-3

Test on the sum of all N observations
Number of degrees of freedom          :  200
Chi-square statistic                  :  256.28
p-value of test                       :  4.4e-3

-----------------------------------------------
CPU time used                    :  00:03:58.99

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_PeriodsInStrings test:
-----------------------------------------------
   N = 10,  n = 500000000,  r = 20,   s =   10


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

Kolmogorov-Smirnov+ statistic = D+    :    0.26
p-value of test                       :    0.22

Kolmogorov-Smirnov- statistic = D-    :    0.18
p-value of test                       :    0.47

Anderson-Darling statistic = A2       :    0.75
p-value of test                       :    0.52

Test on the sum of all N observations
Number of degrees of freedom          :  200
Chi-square statistic                  :  187.71
p-value of test                       :    0.72

-----------------------------------------------
CPU time used                    :  00:04:00.54

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_HammingWeight2 test:
-----------------------------------------------
   N = 10,  n = 1000000000,  r =  0,   s = 3,   L = 1000000


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

Kolmogorov-Smirnov+ statistic = D+    : 1.49e-5
p-value of test                       : 1 -  1.5e-5    *****

Kolmogorov-Smirnov- statistic = D-    :    1.00
p-value of test                       : 4.3e-24    *****

Anderson-Darling statistic = A2       :   64.28
p-value of test                       : 1.5e-29    *****

Test on the sum of all N observations
Number of degrees of freedom          : 10000
Chi-square statistic                  :11646.11
p-value of test                       : 9.7e-29    *****

-----------------------------------------------
CPU time used                    :  00:01:38.95

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_HammingWeight2 test:
-----------------------------------------------
   N = 10,  n = 1000000000,  r = 27,   s = 3,   L = 1000000


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

Kolmogorov-Smirnov+ statistic = D+    :    0.41
p-value of test                       :    0.02

Kolmogorov-Smirnov- statistic = D-    :   0.057
p-value of test                       :    0.91

Anderson-Darling statistic = A2       :    2.10
p-value of test                       :    0.08

Test on the sum of all N observations
Number of degrees of freedom          : 10000
Chi-square statistic                  : 9758.96
p-value of test                       :    0.96

-----------------------------------------------
CPU time used                    :  00:01:41.61

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_HammingCorr test:
-----------------------------------------------
   N =  1,  n = 1000000000,  r = 10,   s = 10,   L = 30



-----------------------------------------------
Normal statistic                      :   -0.23
p-value of test                       :    0.59

-----------------------------------------------
CPU time used                    :  00:01:54.18

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_HammingCorr test:
-----------------------------------------------
   N =  1,  n = 100000000,  r = 10,   s = 10,   L = 300



-----------------------------------------------
Normal statistic                      :    0.26
p-value of test                       :    0.40

-----------------------------------------------
CPU time used                    :  00:01:48.65

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_HammingCorr test:
-----------------------------------------------
   N =  1,  n = 100000000,  r = 10,   s = 10,   L = 1200



-----------------------------------------------
Normal statistic                      :    0.11
p-value of test                       :    0.45

-----------------------------------------------
CPU time used                    :  00:07:07.88

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_HammingIndep test:
-----------------------------------------------
   N = 10,  n = 30000000,  r =  0,   s = 3,   L = 30,   d = 0



Counters with expected numbers >= 10
-----------------------------------------------

Kolmogorov-Smirnov+ statistic = D+    :   0.000
p-value of test                       : 1 - eps1    *****

Kolmogorov-Smirnov- statistic = D-    :    1.00
p-value of test                       :   eps      *****

Anderson-Darling statistic = A2       :  357.37
p-value of test                       :3.2e-157    *****

Test on the sum of all N observations
Number of degrees of freedom          : 4890
Chi-square statistic                  :73512.97
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:03:09.22

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_HammingIndep test:
-----------------------------------------------
   N = 10,  n = 30000000,  r = 27,   s = 3,   L = 30,   d = 0



Counters with expected numbers >= 10
-----------------------------------------------

Kolmogorov-Smirnov+ statistic = D+    :   0.100
p-value of test                       :    0.76

Kolmogorov-Smirnov- statistic = D-    :    0.27
p-value of test                       :    0.20

Anderson-Darling statistic = A2       :    0.74
p-value of test                       :    0.52

Test on the sum of all N observations
Number of degrees of freedom          : 4890
Chi-square statistic                  : 4947.13
p-value of test                       :    0.28

-----------------------------------------------
CPU time used                    :  00:03:15.13

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_HammingIndep test:
-----------------------------------------------
   N =  1,  n = 30000000,  r =  0,   s = 4,   L = 300,   d = 0



Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom          : 4117
Chi-square statistic                  :35679.38
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:02:21.31

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_HammingIndep test:
-----------------------------------------------
   N =  1,  n = 30000000,  r = 26,   s = 4,   L = 300,   d = 0



Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom          : 4117
Chi-square statistic                  : 4067.97
p-value of test                       :    0.70

-----------------------------------------------
CPU time used                    :  00:02:26.22

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_HammingIndep test:
-----------------------------------------------
   N =  1,  n = 10000000,  r =  0,   s = 5,   L = 1200,   d = 0



Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom          : 11825
Chi-square statistic                  : 4.60e+5
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:02:33.86

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_HammingIndep test:
-----------------------------------------------
   N =  1,  n = 10000000,  r = 25,   s = 5,   L = 1200,   d = 0



Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom          : 11825
Chi-square statistic                  :11793.35
p-value of test                       :    0.58

-----------------------------------------------
CPU time used                    :  00:02:38.06

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_Run test:
-----------------------------------------------
   N =  1,  n = 2000000000,  r =  0,   s =    3


-----------------------------------------------
Total number of 1 runs:  2000000000

Number of degrees of freedom          :   54
Chi2 statistic for number of runs     : 4340.90
p-value of test                       :   eps      *****


-----------------------------------------------
Total number of bits:  7999999755

Normal statistic for number of bits   : -1.94e-3
p-value of test                       :    0.50



-----------------------------------------------
CPU time used                    :  00:01:51.52

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_Run test:
-----------------------------------------------
   N =  1,  n = 2000000000,  r = 27,   s =    3


-----------------------------------------------
Total number of 1 runs:  2000000000

Number of degrees of freedom          :   54
Chi2 statistic for number of runs     :   40.32
p-value of test                       :    0.92


-----------------------------------------------
Total number of bits:  7999952535

Normal statistic for number of bits   :   -0.38
p-value of test                       :    0.65



-----------------------------------------------
CPU time used                    :  00:01:52.75

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_AutoCor test:
-----------------------------------------------
   N = 10,  n = 1000000030,  r =  0,   s = 3,   d = 1


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

Kolmogorov-Smirnov+ statistic = D+    :    0.42
p-value of test                       :    0.02

Kolmogorov-Smirnov- statistic = D-    :    0.44
p-value of test                       :    0.01

Anderson-Darling statistic = A2       :    3.00
p-value of test                       :    0.03

Tests on the sum of all N observations
Standardized normal statistic         :   0.010
p-value of test                       :    0.50

Sample variance                       :   0.012
p-value of test                       : 1 -  3.9e-8    *****

-----------------------------------------------
CPU time used                    :  00:03:35.97

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_AutoCor test:
-----------------------------------------------
   N = 10,  n = 1000000029,  r =  0,   s = 3,   d = 3


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

Kolmogorov-Smirnov+ statistic = D+    :    0.26
p-value of test                       :    0.21

Kolmogorov-Smirnov- statistic = D-    :    0.71
p-value of test                       :  6.1e-6    *****

Anderson-Darling statistic = A2       :    5.85
p-value of test                       :  1.2e-3

Tests on the sum of all N observations
Standardized normal statistic         :    1.87
p-value of test                       :    0.03

Sample variance                       : 6.17e-4
p-value of test                       : 1 - 6.0e-14    *****

-----------------------------------------------
CPU time used                    :  00:03:22.74

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_AutoCor test:
-----------------------------------------------
   N = 10,  n = 1000000030,  r = 27,   s = 3,   d = 1


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

Kolmogorov-Smirnov+ statistic = D+    :    0.27
p-value of test                       :    0.20

Kolmogorov-Smirnov- statistic = D-    :    0.18
p-value of test                       :    0.48

Anderson-Darling statistic = A2       :    1.09
p-value of test                       :    0.31

Tests on the sum of all N observations
Standardized normal statistic         :   -0.48
p-value of test                       :    0.68

Sample variance                       :    1.82
p-value of test                       :    0.06

-----------------------------------------------
CPU time used                    :  00:03:45.27

Generator state:
N/A



***********************************************************
HOST = gaianss, Linux

stdin


sstring_AutoCor test:
-----------------------------------------------
   N = 10,  n = 1000000029,  r = 27,   s = 3,   d = 3


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

Kolmogorov-Smirnov+ statistic = D+    :    0.15
p-value of test                       :    0.57

Kolmogorov-Smirnov- statistic = D-    :    0.16
p-value of test                       :    0.53

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

Tests on the sum of all N observations
Standardized normal statistic         :    0.11
p-value of test                       :    0.46

Sample variance                       :    0.56
p-value of test                       :    0.83

-----------------------------------------------
CPU time used                    :  00:03:32.04

Generator state:
N/A




========= Summary results of BigCrush =========

 Version:          TestU01 1.2.3
 Generator:        stdin
 Number of statistics:  155
 Total CPU time:   06:14:50.43
 The following tests gave p-values outside [0.001, 0.9990]:
 (eps  means a value < 1.0e-300):
 (eps1 means a value < 1.0e-15):

       Test                          p-value
 ----------------------------------------------
  1  SerialOver, r = 0                eps  
  3  CollisionOver, t = 2           1 - eps1
  5  CollisionOver, t = 3           1 - eps1
  7  CollisionOver, t = 7             eps  
  9  CollisionOver, t = 14            eps  
 11  CollisionOver, t = 21            eps  
 13  BirthdaySpacings, t = 2          eps  
 14  BirthdaySpacings, t = 3          eps  
 15  BirthdaySpacings, t = 4          eps  
 16  BirthdaySpacings, t = 7          eps  
 17  BirthdaySpacings, t = 7          eps  
 18  BirthdaySpacings, t = 8          eps  
 19  BirthdaySpacings, t = 8          eps  
 20  BirthdaySpacings, t = 16         eps  
 21  BirthdaySpacings, t = 16         eps  
 22  ClosePairs NP, t = 3             eps  
 22  ClosePairs mNP, t = 3         2.2e-289
 22  ClosePairs mNP1, t = 3        3.0e-298
 22  ClosePairs mNP2, t = 3           eps  
 22  ClosePairs NJumps, t = 3       1 - eps1
 23  ClosePairs NP, t = 5             eps  
 23  ClosePairs mNP, t = 5            eps  
 23  ClosePairs mNP1, t = 5           eps  
 23  ClosePairs NJumps, t = 5       1 - eps1
 24  ClosePairs NP, t = 9          3.2e-157
 24  ClosePairs mNP, t = 9         3.2e-157
 24  ClosePairs mNP1, t = 9           eps  
 24  ClosePairs NJumps, t = 9       1 - eps1
 25  ClosePairs NP, t = 16          1.8e-79
 25  ClosePairs mNP, t = 16         1.8e-79
 25  ClosePairs mNP1, t = 16          eps  
 25  ClosePairs mNP2, t = 16          eps  
 25  ClosePairs NJumps, t = 16        eps  
 25  ClosePairs mNP2S, t = 16         eps  
 26  SimpPoker, r = 0                 eps  
 28  SimpPoker, r = 0                 eps  
 30  CouponCollector, r = 0           eps  
 31  CouponCollector, r = 10          eps  
 34  Gap, r = 0                       eps  
 36  Gap, r = 0                       eps  
 40  Permutation, t = 3               eps  
 41  Permutation, t = 5               eps  
 42  Permutation, t = 7               eps  
 43  Permutation, t = 10              eps  
 44  CollisionPermut, r = 0           eps  
 45  CollisionPermut, r = 10        1 - eps1
 46  MaxOft AD, t = 8               1.3e-51
 47  MaxOft, t = 16                 7.7e-18
 47  MaxOft AD, t = 16              6.0e-16
 48  MaxOft AD, t = 24               6.5e-5
 49  MaxOft, t = 32                 1.1e-23
 49  MaxOft AD, t = 32             7.1e-137
 50  SampleProd, t = 8               4.3e-9
 51  SampleProd, t = 16             1.6e-76
 52  SampleProd, t = 24             8.8e-29
 57  AppearanceSpacings, r = 0        eps  
 59  WeightDistrib, r = 0             eps  
 62  WeightDistrib, r = 0             eps  
 63  WeightDistrib, r = 10            eps  
 65  SumCollector                     eps  
 74  RandomWalk1 H (L=50, r=0)        eps  
 74  RandomWalk1 M (L=50, r=0)        eps  
 74  RandomWalk1 J (L=50, r=0)        eps  
 74  RandomWalk1 R (L=50, r=0)        eps  
 74  RandomWalk1 C (L=50, r=0)        eps  
 76  RandomWalk1 C (L=1000, r=0)     1.9e-4
 84  Fourier3, r = 0                2.9e-15
 86  LongestHeadRun, r = 0            eps  
 86  LongestHeadRun, r = 0          1 - eps1
 90  HammingWeight2, r = 0          9.7e-29
 95  HammingIndep, L=30, r=0          eps  
 97  HammingIndep, L=300, r=0         eps  
 99  HammingIndep, L=1200, r=0        eps  
 101  Run of bits, r = 0               eps  
 ----------------------------------------------
 All other tests were passed



# 
# Test duration: 1860.5549785708001 minutes
# 
