 BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA=  2.0000
           xrb_raw.dat     using bits  1 to 24 p-value=  .533732
           xrb_raw.dat     using bits  2 to 25 p-value=  .374536
           xrb_raw.dat     using bits  3 to 26 p-value=  .294591
           xrb_raw.dat     using bits  4 to 27 p-value=  .196734
           xrb_raw.dat     using bits  5 to 28 p-value=  .984866
           xrb_raw.dat     using bits  6 to 29 p-value=  .114385
           xrb_raw.dat     using bits  7 to 30 p-value=  .302693
           xrb_raw.dat     using bits  8 to 31 p-value=  .541576
           xrb_raw.dat     using bits  9 to 32 p-value=  .923749
   The 9 p-values were
        .533732   .374536   .294591   .196734   .984866
        .114385   .302693   .541576   .923749
  A KSTEST for the 9 p-values yields  .300103
--------------------------------------------------------------------------------
           OPERM5 test for file xrb_raw.dat    
 chisquare for 99 degrees of freedom= 59.972; p-value= .000686
           OPERM5 test for file xrb_raw.dat    
 chisquare for 99 degrees of freedom= 75.863; p-value= .040513
--------------------------------------------------------------------------------
    Binary rank test for xrb_raw.dat    
         Rank test for 31x31 binary matrices:
        rows from leftmost 31 bits of each 32-bit integer
      rank   observed  expected (o-e)^2/e  sum
        28       229     211.4  1.462156    1.462
        29      5146    5134.0   .028000    1.490
        30     23010   23103.0   .374744    1.865
        31     11615   11551.5   .348798    2.214
  chisquare= 2.214 for 3 d. of f.; p-value= .539140
    Binary rank test for xrb_raw.dat    
         Rank test for 32x32 binary matrices:
        rows from leftmost 32 bits of each 32-bit integer
      rank   observed  expected (o-e)^2/e  sum
        29       198     211.4   .851598     .852
        30      5176    5134.0   .343423    1.195
        31     23125   23103.0   .020860    1.216
        32     11501   11551.5   .220985    1.437
  chisquare= 1.437 for 3 d. of f.; p-value= .418408
--------------------------------------------------------------------------------
 b-rank test for bits  1 to  8 p=1-exp(-SUM/2)= .80220
 b-rank test for bits  2 to  9 p=1-exp(-SUM/2)= .96617
 b-rank test for bits  3 to 10 p=1-exp(-SUM/2)= .40379
 b-rank test for bits  4 to 11 p=1-exp(-SUM/2)= .41450
 b-rank test for bits  5 to 12 p=1-exp(-SUM/2)= .61607
 b-rank test for bits  6 to 13 p=1-exp(-SUM/2)= .82877
 b-rank test for bits  7 to 14 p=1-exp(-SUM/2)= .30911
 b-rank test for bits  8 to 15 p=1-exp(-SUM/2)= .53505
 b-rank test for bits  9 to 16 p=1-exp(-SUM/2)= .23612
 b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .42242
 b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .22391
 b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .26021
 b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .51102
 b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .77866
 b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .80014
 b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .35091
 b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .11494
 b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .07598
 b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .92158
 b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .95228
 b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .59115
 b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .38047
 b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .67765
 b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .69092
 b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .89039
   TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices
 These should be 25 uniform [0,1] random variables:
     .802196     .966171     .403790     .414497     .616069
     .828767     .309109     .535051     .236124     .422420
     .223910     .260207     .511019     .778655     .800139
     .350911     .114939     .075976     .921580     .952284
     .591154     .380466     .677653     .690917     .890393
   brank test summary for xrb_raw.dat    
       The KS test for those 25 supposed UNI's yields
                    KS p-value= .346969
--------------------------------------------------------------------------------
  No. missing words should average  141909. with sigma=428.
 tst no  1:  142694 missing words,    1.83 sigmas from mean, p-value= .96662
 tst no  2:  142147 missing words,     .56 sigmas from mean, p-value= .71066
 tst no  3:  141619 missing words,    -.68 sigmas from mean, p-value= .24878
 tst no  4:  141694 missing words,    -.50 sigmas from mean, p-value= .30745
 tst no  5:  142635 missing words,    1.70 sigmas from mean, p-value= .95501
 tst no  6:  142560 missing words,    1.52 sigmas from mean, p-value= .93578
 tst no  7:  142052 missing words,     .33 sigmas from mean, p-value= .63056
 tst no  8:  142086 missing words,     .41 sigmas from mean, p-value= .66012
 tst no  9:  142902 missing words,    2.32 sigmas from mean, p-value= .98981
 tst no 10:  142527 missing words,    1.44 sigmas from mean, p-value= .92551
 tst no 11:  142100 missing words,     .45 sigmas from mean, p-value= .67202
 tst no 12:  142649 missing words,    1.73 sigmas from mean, p-value= .95802
 tst no 13:  141778 missing words,    -.31 sigmas from mean, p-value= .37948
 tst no 14:  142293 missing words,     .90 sigmas from mean, p-value= .81499
 tst no 15:  141750 missing words,    -.37 sigmas from mean, p-value= .35485
 tst no 16:  141958 missing words,     .11 sigmas from mean, p-value= .54527
 tst no 17:  142023 missing words,     .27 sigmas from mean, p-value= .60472
 tst no 18:  141267 missing words,   -1.50 sigmas from mean, p-value= .06671
 tst no 19:  141608 missing words,    -.70 sigmas from mean, p-value= .24070
 tst no 20:  141787 missing words,    -.29 sigmas from mean, p-value= .38751
--------------------------------------------------------------------------------
    OPSO for xrb_raw.dat     using bits 23 to 32        141999   .309  .6214
    OPSO for xrb_raw.dat     using bits 22 to 31        141785  -.429  .3341
    OPSO for xrb_raw.dat     using bits 21 to 30        142108   .685  .7534
    OPSO for xrb_raw.dat     using bits 20 to 29        141397 -1.767  .0386
    OPSO for xrb_raw.dat     using bits 19 to 28        141516 -1.356  .0875
    OPSO for xrb_raw.dat     using bits 18 to 27        142238  1.133  .8715
    OPSO for xrb_raw.dat     using bits 17 to 26        141815  -.325  .3725
    OPSO for xrb_raw.dat     using bits 16 to 25        142192   .975  .8352
    OPSO for xrb_raw.dat     using bits 15 to 24        142196   .989  .8386
    OPSO for xrb_raw.dat     using bits 14 to 23        142195   .985  .8377
    OPSO for xrb_raw.dat     using bits 13 to 22        141711  -.684  .2470
    OPSO for xrb_raw.dat     using bits 12 to 21        142085   .606  .7277
    OPSO for xrb_raw.dat     using bits 11 to 20        142096   .644  .7401
    OPSO for xrb_raw.dat     using bits 10 to 19        141602 -1.060  .1446
    OPSO for xrb_raw.dat     using bits  9 to 18        141423 -1.677  .0468
    OPSO for xrb_raw.dat     using bits  8 to 17        141431 -1.649  .0495
    OPSO for xrb_raw.dat     using bits  7 to 16        141548 -1.246  .1064
    OPSO for xrb_raw.dat     using bits  6 to 15        141560 -1.205  .1142
    OPSO for xrb_raw.dat     using bits  5 to 14        141528 -1.315  .0943
    OPSO for xrb_raw.dat     using bits  4 to 13        141757  -.525  .2997
    OPSO for xrb_raw.dat     using bits  3 to 12        142120   .726  .7662
    OPSO for xrb_raw.dat     using bits  2 to 11        141749  -.553  .2902
    OPSO for xrb_raw.dat     using bits  1 to 10        141890  -.067  .4734
    OQSO for xrb_raw.dat     using bits 28 to 32        141857  -.177  .4296
    OQSO for xrb_raw.dat     using bits 27 to 31        142227  1.077  .8592
    OQSO for xrb_raw.dat     using bits 26 to 30        141766  -.486  .3135
    OQSO for xrb_raw.dat     using bits 25 to 29        142202   .992  .8394
    OQSO for xrb_raw.dat     using bits 24 to 28        142067   .534  .7035
    OQSO for xrb_raw.dat     using bits 23 to 27        141835  -.252  .4005
    OQSO for xrb_raw.dat     using bits 22 to 26        141804  -.357  .3605
    OQSO for xrb_raw.dat     using bits 21 to 25        142415  1.714  .9567
    OQSO for xrb_raw.dat     using bits 20 to 24        142231  1.090  .8622
    OQSO for xrb_raw.dat     using bits 19 to 23        142331  1.429  .9236
    OQSO for xrb_raw.dat     using bits 18 to 22        141987   .263  .6038
    OQSO for xrb_raw.dat     using bits 17 to 21        142336  1.446  .9260
    OQSO for xrb_raw.dat     using bits 16 to 20        142306  1.345  .9106
    OQSO for xrb_raw.dat     using bits 15 to 19        141427 -1.635  .0510
    OQSO for xrb_raw.dat     using bits 14 to 18        141984   .253  .5999
    OQSO for xrb_raw.dat     using bits 13 to 17        142104   .660  .7453
    OQSO for xrb_raw.dat     using bits 12 to 16        142022   .382  .6487
    OQSO for xrb_raw.dat     using bits 11 to 15        142155   .833  .7975
    OQSO for xrb_raw.dat     using bits 10 to 14        141759  -.510  .3052
    OQSO for xrb_raw.dat     using bits  9 to 13        141810  -.337  .3682
    OQSO for xrb_raw.dat     using bits  8 to 12        141786  -.418  .3380
    OQSO for xrb_raw.dat     using bits  7 to 11        142076   .565  .7140
    OQSO for xrb_raw.dat     using bits  6 to 10        141700  -.710  .2390
    OQSO for xrb_raw.dat     using bits  5 to  9        141745  -.557  .2887
    OQSO for xrb_raw.dat     using bits  4 to  8        141481 -1.452  .0733
    OQSO for xrb_raw.dat     using bits  3 to  7        141620  -.981  .1634
    OQSO for xrb_raw.dat     using bits  2 to  6        142001   .311  .6220
    OQSO for xrb_raw.dat     using bits  1 to  5        142168   .877  .8097
     DNA for xrb_raw.dat     using bits 31 to 32        141447 -1.364  .0863
     DNA for xrb_raw.dat     using bits 30 to 31        141575  -.986  .1620
     DNA for xrb_raw.dat     using bits 29 to 30        142079   .501  .6916
     DNA for xrb_raw.dat     using bits 28 to 29        141572  -.995  .1599
     DNA for xrb_raw.dat     using bits 27 to 28        141442 -1.379  .0840
     DNA for xrb_raw.dat     using bits 26 to 27        142103   .571  .7161
     DNA for xrb_raw.dat     using bits 25 to 26        141903  -.019  .4926
     DNA for xrb_raw.dat     using bits 24 to 25        141760  -.440  .3298
     DNA for xrb_raw.dat     using bits 23 to 24        142531  1.834  .9667
     DNA for xrb_raw.dat     using bits 22 to 23        142909  2.949  .9984
     DNA for xrb_raw.dat     using bits 21 to 22        141444 -1.373  .0849
     DNA for xrb_raw.dat     using bits 20 to 21        142118   .616  .7309
     DNA for xrb_raw.dat     using bits 19 to 20        142256  1.023  .8468
     DNA for xrb_raw.dat     using bits 18 to 19        141888  -.063  .4749
     DNA for xrb_raw.dat     using bits 17 to 18        142660  2.214  .9866
     DNA for xrb_raw.dat     using bits 16 to 17        142145   .695  .7565
     DNA for xrb_raw.dat     using bits 15 to 16        142287  1.114  .8674
     DNA for xrb_raw.dat     using bits 14 to 15        141974   .191  .5756
     DNA for xrb_raw.dat     using bits 13 to 14        141714  -.576  .2822
     DNA for xrb_raw.dat     using bits 12 to 13        141771  -.408  .3416
     DNA for xrb_raw.dat     using bits 11 to 12        141792  -.346  .3646
     DNA for xrb_raw.dat     using bits 10 to 11        142063   .453  .6748
     DNA for xrb_raw.dat     using bits  9 to 10        141888  -.063  .4749
     DNA for xrb_raw.dat     using bits  8 to  9        141957   .141  .5559
     DNA for xrb_raw.dat     using bits  7 to  8        141591  -.939  .1739
     DNA for xrb_raw.dat     using bits  6 to  7        141501 -1.205  .1142
     DNA for xrb_raw.dat     using bits  5 to  6        141814  -.281  .3893
     DNA for xrb_raw.dat     using bits  4 to  5        142282  1.099  .8642
     DNA for xrb_raw.dat     using bits  3 to  4        141612  -.877  .1902
     DNA for xrb_raw.dat     using bits  2 to  3        142253  1.014  .8447
     DNA for xrb_raw.dat     using bits  1 to  2        141734  -.517  .3025
--------------------------------------------------------------------------------
   Test results for xrb_raw.dat    
 Chi-square with 5^5-5^4=2500 d.of f. for sample size:2560000
                               chisquare  equiv normal  p-value
  Results fo COUNT-THE-1's in successive bytes:
 byte stream for xrb_raw.dat      2725.79      3.193      .999296
 byte stream for xrb_raw.dat      3083.71      8.255     1.000000
--------------------------------------------------------------------------------
 Chi-square with 5^5-5^4=2500 d.of f. for sample size: 256000
                      chisquare  equiv normal  p value
  Results for COUNT-THE-1's in specified bytes:
           bits  1 to  8  2564.02       .905      .817373
           bits  2 to  9  2567.08       .949      .828611
           bits  3 to 10  2476.48      -.333      .369715
           bits  4 to 11  2502.81       .040      .515877
           bits  5 to 12  2441.33      -.830      .203349
           bits  6 to 13  2518.43       .261      .602802
           bits  7 to 14  2489.10      -.154      .438765
           bits  8 to 15  2566.08       .934      .824973
           bits  9 to 16  2525.55       .361      .641054
           bits 10 to 17  2577.69      1.099      .864051
           bits 11 to 18  2519.84       .281      .610458
           bits 12 to 19  2519.27       .273      .607385
           bits 13 to 20  2556.31       .796      .787068
           bits 14 to 21  2480.54      -.275      .391559
           bits 15 to 22  2441.02      -.834      .202110
           bits 16 to 23  2546.71       .661      .745541
           bits 17 to 24  2652.31      2.154      .984380
           bits 18 to 25  2458.08      -.593      .276668
           bits 19 to 26  2433.41      -.942      .173169
           bits 20 to 27  2473.20      -.379      .352318
           bits 21 to 28  2516.88       .239      .594345
           bits 22 to 29  2488.21      -.167      .433768
           bits 23 to 30  2538.85       .549      .708624
           bits 24 to 31  2534.55       .489      .687450
           bits 25 to 32  2622.84      1.737      .958823
--------------------------------------------------------------------------------
           CDPARK: result of ten tests on file xrb_raw.dat    
            Of 12,000 tries, the average no. of successes
                 should be 3523 with sigma=21.9
            Successes: 3519    z-score:  -.183 p-value: .427537
            Successes: 3502    z-score:  -.959 p-value: .168804
            Successes: 3526    z-score:   .137 p-value: .554479
            Successes: 3544    z-score:   .959 p-value: .831196
            Successes: 3508    z-score:  -.685 p-value: .246694
            Successes: 3490    z-score: -1.507 p-value: .065925
            Successes: 3537    z-score:   .639 p-value: .738676
            Successes: 3505    z-score:  -.822 p-value: .205562
            Successes: 3514    z-score:  -.411 p-value: .340551
            Successes: 3555    z-score:  1.461 p-value: .928018
 
           square size   avg. no.  parked   sample sigma
             100.            3520.000       19.370
            KSTEST for the above 10: p=  .068682
--------------------------------------------------------------------------------
               This is the MINIMUM DISTANCE test
              for random integers in the file xrb_raw.dat    
     Sample no.    d^2     avg     equiv uni            
           5    1.1223    .7150     .676315
          10     .7826   1.6800     .544590
          15     .2984   1.3892     .259129
          20     .5001   1.2075     .395075
          25    1.5702   1.2024     .793626
          30     .7999   1.2569     .552434
          35     .0344   1.1195     .033958
          40     .5099   1.1103     .400957
          45     .6006   1.0409     .453179
          50     .2232   1.0043     .200966
          55     .4952   1.0375     .392043
          60     .1057   1.0439     .100813
          65     .4915   1.0053     .389774
          70     .3401   1.0020     .289538
          75     .4764   1.0209     .380457
          80    1.4150   1.0393     .758807
          85     .5455   1.0258     .422030
          90    1.5612   1.0111     .791757
          95    1.4820   1.0008     .774499
         100     .7990    .9615     .552036
     MINIMUM DISTANCE TEST for xrb_raw.dat    
          Result of KS test on 20 transformed mindist^2's:
                                  p-value= .837459
--------------------------------------------------------------------------------
               The 3DSPHERES test for file xrb_raw.dat    
 sample no:  1     r^3=  36.296     p-value= .70176
 sample no:  2     r^3=  49.846     p-value= .81015
 sample no:  3     r^3=  15.989     p-value= .41313
 sample no:  4     r^3=  21.903     p-value= .51814
 sample no:  5     r^3=   8.699     p-value= .25171
 sample no:  6     r^3= 120.163     p-value= .98178
 sample no:  7     r^3=  37.363     p-value= .71218
 sample no:  8     r^3= 109.883     p-value= .97434
 sample no:  9     r^3=  17.117     p-value= .43479
 sample no: 10     r^3=  37.061     p-value= .70927
 sample no: 11     r^3=  46.262     p-value= .78606
 sample no: 12     r^3=   9.589     p-value= .27358
 sample no: 13     r^3=  55.386     p-value= .84216
 sample no: 14     r^3=  45.306     p-value= .77914
 sample no: 15     r^3=  72.829     p-value= .91175
 sample no: 16     r^3=   6.986     p-value= .20775
 sample no: 17     r^3=  21.744     p-value= .51558
 sample no: 18     r^3=   3.442     p-value= .10840
 sample no: 19     r^3=  10.716     p-value= .30037
 sample no: 20     r^3=  41.913     p-value= .75269
       3DSPHERES test for file xrb_raw.dat          p-value= .802271
--------------------------------------------------------------------------------
            RESULTS OF SQUEEZE TEST FOR xrb_raw.dat    
         Table of standardized frequency counts
     ( (obs-exp)/sqrt(exp) )^2
        for j taking values <=6,7,8,...,47,>=48:
     -.8     2.2      .3     -.3    -1.1     -.4
      .5     1.0     -.4     1.0     -.6     1.4
     -.9     -.6      .1    -2.3      .1      .5
     -.9      .5     1.2     -.3      .8     1.0
      .2     -.5      .1      .3      .3    -1.2
      .5      .5      .5     -.2    -1.3     1.1
      .3     -.7    -1.6     -.7    -1.3    -1.0
     -.1
           Chi-square with 42 degrees of freedom: 34.875
              z-score=  -.777  p-value= .225644
______________________________________________________________
--------------------------------------------------------------------------------
                Test no.  1      p-value  .678132
                Test no.  2      p-value  .517267
                Test no.  3      p-value  .391131
                Test no.  4      p-value  .797141
                Test no.  5      p-value  .855528
                Test no.  6      p-value  .782474
                Test no.  7      p-value  .638652
                Test no.  8      p-value  .036675
                Test no.  9      p-value  .731383
                Test no. 10      p-value  .118770
   Results of the OSUM test for xrb_raw.dat    
        KSTEST on the above 10 p-values:  .406581
--------------------------------------------------------------------------------
           The RUNS test for file xrb_raw.dat    
     Up and down runs in a sample of 10000
_________________________________________________ 
                 Run test for xrb_raw.dat    :
       runs up; ks test for 10 p's: .218471
     runs down; ks test for 10 p's: .199477
                 Run test for xrb_raw.dat    :
       runs up; ks test for 10 p's: .084058
     runs down; ks test for 10 p's: .278501
--------------------------------------------------------------------------------
                Results of craps test for xrb_raw.dat    
  No. of wins:  Observed Expected
                                98319    98585.86
 Chisq=  19.14 for 20 degrees of freedom, p=  .48741
               Throws Observed Expected  Chisq     Sum
            SUMMARY  FOR xrb_raw.dat    
                p-value for no. of wins: .116327
                p-value for throws/game: .487411
  Test completed.  File xrb_raw.dat    
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
