xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
          Starting Rabbit:   nb = 10859536
          Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx


***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


smultin_MultinomialBitsOver test:
-----------------------------------------------
   N =  2,  n = 5429760,  r =  0,   s = 32,   L =   37,
       Sparse =   TRUE

       Number of bits = n = 5429760
       Number of cells = 2^L =       137438953472
       Expected number per cell =  1 /   25312.16
       EColl = n^2 / (2k) =  107.2559595
       Hashing =   TRUE

       Collision test
       CollisionOver:   density = n / k =  1 /   25312.16
       Expected number of collisions = Mu =     107.25


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

POISSON approximation                 :
Expected number of collisions = N*Mu  :      214.51
Observed number of collisions         :  9715365
p-value of test                       :   eps      *****

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

  j =  0                              :     274876762789
  j =  1                              :           485157
  j =  2                              :           171839
  j =  3                              :            88767
  j =  4                              :            59882
  j =  5                              :            43504

-----------------------------------------------
CPU time used                    :  00:00:00.56

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


snpair_ClosePairsBitMatch test:
-----------------------------------------------
   N =  1,  n = 169680,  r =  0,  t = 2


-----------------------------------------------
Max of all bit distances              :  128.00
p-value of test                       : 3.1e-68    *****

-----------------------------------------------
CPU time used                    :  00:00:00.03

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


snpair_ClosePairsBitMatch test:
-----------------------------------------------
   N =  1,  n = 84840,  r =  0,  t = 4


-----------------------------------------------
Max of all bit distances              :  128.00
p-value of test                       :1.7e-146    *****

-----------------------------------------------
CPU time used                    :  00:00:00.04

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


svaria_AppearanceSpacings test:
-----------------------------------------------
   N =  1,   Q = 339360,   K = 339360,   r = 0,   s = 30,   L = 15

   Sequences of n = (K + Q)L =     10180800 bits
   Q = 339360 initialization blocks
   K = 339360 blocks for the test
   the blocks have L = 15 bits



-----------------------------------------------
Normal statistic                      :-3119.70
p-value of test                       : 1 - eps1    *****

-----------------------------------------------
CPU time used                    :  00:00:00.01

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


scomp_LinearComp test:
-----------------------------------------------
   N =  1,  n = 16576,  r =  0,    s = 32



-----------------------------------------------
Number of degrees of freedom          :    7
Chi2 statistic for size of jumps      :    6.06
p-value of test                       :    0.53


-----------------------------------------------
Normal statistic for number of jumps  :    1.40
p-value of test                       :    0.08



-----------------------------------------------
CPU time used                    :  00:00:00.19

Generator state:
 16576  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


scomp_LempelZiv test:
-----------------------------------------------
   N =  1,  n = 8388608,  r =  0,   s =   32,   k =   23


-----------------------------------------------
Normal statistic                      :-9772.62
p-value of test                       : 1 - eps1    *****

-----------------------------------------------
CPU time used                    :  00:00:00.15

Generator state:
 8388608  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sspectral_Fourier1 test:
-----------------------------------------------
   N =  1,  n = 1048576,  r =  0,   s =   32,   k =   20


-----------------------------------------------
Normal statistic                      :  111.39
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.07

Generator state:
 1048576  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sspectral_Fourier3 test:
-----------------------------------------------
   N = 5220,  n = 2048,  r =  0,   s =   32,   k =   11


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

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

Kolmogorov-Smirnov- statistic = D-    :   0.071
p-value of test                       :  5.8e-3

Anderson-Darling statistic = A2       :14115.43
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.08

Generator state:
 10857600  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sstring_LongestHeadRun test:
-----------------------------------------------
   N =  1,  n = 60,  r =  0,   s = 32,   L = 180960


-----------------------------------------------
Number of degrees of freedom          :    3
Chi-square statistic                  :  178.64
p-value of test                       :   eps      *****

-----------------------------------------------
Global longest run of 1               :    9.00
p-value of test                       : 1 - eps1    *****



-----------------------------------------------
CPU time used                    :  00:00:00.02

Generator state:
 10857600  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sstring_PeriodsInStrings test:
-----------------------------------------------
   N =  1,  n = 339360,  r =  0,   s =   31


-----------------------------------------------
Number of degrees of freedom          :   83
Chi-square statistic                  : 1.31e+6
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.02

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sstring_HammingWeight test:
-----------------------------------------------
   N =  1,  n = 339360,  r =  0,   s = 32,   L = 32


-----------------------------------------------
Number of degrees of freedom          :   22
Chi-square statistic                  : 6.26e+5
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.01

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sstring_HammingCorr test:
-----------------------------------------------
   N =  1,  n = 339360,  r =  0,   s = 32,   L = 32



-----------------------------------------------
Normal statistic                      :  205.66
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.01

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sstring_HammingCorr test:
-----------------------------------------------
   N =  1,  n = 169680,  r =  0,   s = 32,   L = 64



-----------------------------------------------
Normal statistic                      :  319.30
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.01

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sstring_HammingCorr test:
-----------------------------------------------
   N =  1,  n = 84840,  r =  0,   s = 32,   L = 128



-----------------------------------------------
Normal statistic                      :  466.47
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.00

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sstring_HammingIndep test:
-----------------------------------------------
   N =  1,  n = 339360,  r =  0,   s = 32,   L = 16,   d = 0



Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom          :  177
Chi-square statistic                  : 3.45e+5
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.01

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sstring_HammingIndep test:
-----------------------------------------------
   N =  1,  n = 169680,  r =  0,   s = 32,   L = 32,   d = 0



Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom          :  293
Chi-square statistic                  : 1.75e+5
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.01

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sstring_HammingIndep test:
-----------------------------------------------
   N =  1,  n = 84840,  r =  0,   s = 32,   L = 64,   d = 0



Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom          :  437
Chi-square statistic                  : 1.44e+5
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.01

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sstring_AutoCor test:
-----------------------------------------------
   N =  1,  n = 10859457,  r =  0,   s = 32,   d = 1


-----------------------------------------------
Normal statistic                      :   34.34
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.01

Generator state:
 10859488  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sstring_AutoCor test:
-----------------------------------------------
   N =  1,  n = 10859458,  r =  0,   s = 32,   d = 2


-----------------------------------------------
Normal statistic                      :  290.81
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.01

Generator state:
 10859488  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


sstring_Run test:
-----------------------------------------------
   N =  1,  n = 2171904,  r =  0,   s =   32


-----------------------------------------------
Total number of 1 runs:  2171911

Number of degrees of freedom          :   34
Chi2 statistic for number of runs     : 1.01e+6
p-value of test                       :   eps      *****


-----------------------------------------------
Total number of bits:  8588832

Normal statistic for number of bits   :  -23.70
p-value of test                       : 1 - eps1    *****



-----------------------------------------------
CPU time used                    :  00:00:00.03

Generator state:
 8588832  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


smarsa_MatrixRank test:
-----------------------------------------------
   N =  1,  n = 10605,  r =  0,    s = 32,    L = 32,    k = 32


-----------------------------------------------
Number of degrees of freedom          :    3
Chi-square statistic                  : 1.96e+6
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.04

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


smarsa_MatrixRank test:
-----------------------------------------------
   N =  1,  n = 106,  r =  0,    s = 32,    L = 320,    k = 320


-----------------------------------------------
Number of degrees of freedom          :    2
Chi-square statistic                  :  687.20
p-value of test                       :   eps      *****

-----------------------------------------------
CPU time used                    :  00:00:00.06

Generator state:
 10854400  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


swalk_RandomWalk1 test:
-----------------------------------------------
   N =  1,  n = 84840,  r =  0,   s = 32,   L0 =  128,   L1 =  128



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

Number of degrees of freedom          :   42
ChiSquare statistic                   : 3.01e+5
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   42
ChiSquare statistic                   :81340.21
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   64
ChiSquare statistic                   :76205.94
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   35
ChiSquare statistic                   :12887.57
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   21
ChiSquare statistic                   :59821.39
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:00:00.04

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


swalk_RandomWalk1 test:
-----------------------------------------------
   N =  1,  n = 10605,  r =  0,   s = 32,   L0 = 1024,   L1 = 1024



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

Number of degrees of freedom          :   88
ChiSquare statistic                   : 3.13e+6
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   89
ChiSquare statistic                   :44859.64
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :  512
ChiSquare statistic                   :46868.73
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   86
ChiSquare statistic                   :16043.09
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   48
ChiSquare statistic                   :25936.42
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:00:00.02

Generator state:
 10859520  bits have been read.




***********************************************************
HOST = debian, Linux

ufile_CreateReadBin:   pg45304.txt


swalk_RandomWalk1 test:
-----------------------------------------------
   N =  1,  n = 1084,  r =  0,   s = 32,   L0 = 10016,   L1 = 10016



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

Number of degrees of freedom          :   78
ChiSquare statistic                   : 1.14e+5
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   78
ChiSquare statistic                   :16052.45
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :  105
ChiSquare statistic                   :16504.49
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   79
ChiSquare statistic                   : 5907.35
p-value of test                       :   eps      *****


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

Number of degrees of freedom          :   75
ChiSquare statistic                   :10050.75
p-value of test                       :   eps      *****


-----------------------------------------------
CPU time used                    :  00:00:00.03

Generator state:
 10857344  bits have been read.





========= Summary results of Rabbit =========

 Version:          TestU01 1.2.3
 File:             pg45304.txt
 Number of bits:   10859520
 Number of statistics:  39
 Total CPU time:   00:00:01.48
 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  MultinomialBitsOver              eps  
  2  ClosePairsBitMatch, t = 2      3.1e-68
  3  ClosePairsBitMatch, t = 4     1.7e-146
  4  AppearanceSpacings             1 - eps1
  6  LempelZiv                      1 - eps1
  7  Fourier1                         eps  
  8  Fourier3                         eps  
  9  LongestHeadRun                   eps  
 10  PeriodsInStrings                 eps  
 11  HammingWeight                    eps  
 12  HammingCorr, L = 32              eps  
 13  HammingCorr, L = 64              eps  
 14  HammingCorr, L = 128             eps  
 15  HammingIndep, L = 16             eps  
 16  HammingIndep, L = 32             eps  
 17  HammingIndep, L = 64             eps  
 18  AutoCor                          eps  
 19  AutoCor                          eps  
 20  Run of bits                      eps  
 20  Run of bits                    1 - eps1
 21  MatrixRank, 32 x 32              eps  
 22  MatrixRank, 320 x 320            eps  
 24  RandomWalk1 H                    eps  
 24  RandomWalk1 M                    eps  
 24  RandomWalk1 J                    eps  
 24  RandomWalk1 R                    eps  
 24  RandomWalk1 C                    eps  
 25  RandomWalk1 H (L = 1024)         eps  
 25  RandomWalk1 M (L = 1024)         eps  
 25  RandomWalk1 J (L = 1024)         eps  
 25  RandomWalk1 R (L = 1024)         eps  
 25  RandomWalk1 C (L = 1024)         eps  
 26  RandomWalk1 H (L = 10016)        eps  
 26  RandomWalk1 M (L = 10016)        eps  
 26  RandomWalk1 J (L = 10016)        eps  
 26  RandomWalk1 R (L = 10016)        eps  
 26  RandomWalk1 C (L = 10016)        eps  
 ----------------------------------------------
 All other tests were passed



