 BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA=  2.0000
           xrb_vn.dat      using bits  1 to 24 p-value=  .564399
           xrb_vn.dat      using bits  2 to 25 p-value=  .179483
           xrb_vn.dat      using bits  3 to 26 p-value=  .447600
           xrb_vn.dat      using bits  4 to 27 p-value=  .015876
           xrb_vn.dat      using bits  5 to 28 p-value=  .918198
           xrb_vn.dat      using bits  6 to 29 p-value=  .989636
           xrb_vn.dat      using bits  7 to 30 p-value=  .841025
           xrb_vn.dat      using bits  8 to 31 p-value=  .599885
           xrb_vn.dat      using bits  9 to 32 p-value=  .790793
   The 9 p-values were
        .564399   .179483   .447600   .015876   .918198
        .989636   .841025   .599885   .790793
  A KSTEST for the 9 p-values yields  .562859
--------------------------------------------------------------------------------
           OPERM5 test for file xrb_vn.dat     
 chisquare for 99 degrees of freedom=126.580; p-value= .967786
           OPERM5 test for file xrb_vn.dat     
 chisquare for 99 degrees of freedom= 89.309; p-value= .252985
--------------------------------------------------------------------------------
    Binary rank test for xrb_vn.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       228     211.4  1.300562    1.301
        29      5232    5134.0  1.870271    3.171
        30     22863   23103.0  2.494152    5.665
        31     11677   11551.5  1.362948    7.028
  chisquare= 7.028 for 3 d. of f.; p-value= .933000
    Binary rank test for xrb_vn.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       219     211.4   .271909     .272
        30      5223    5134.0  1.542493    1.814
        31     22978   23103.0   .676825    2.491
        32     11580   11551.5   .070195    2.561
  chisquare= 2.561 for 3 d. of f.; p-value= .590457
--------------------------------------------------------------------------------
 b-rank test for bits  1 to  8 p=1-exp(-SUM/2)= .44401
 b-rank test for bits  2 to  9 p=1-exp(-SUM/2)= .31290
 b-rank test for bits  3 to 10 p=1-exp(-SUM/2)= .08170
 b-rank test for bits  4 to 11 p=1-exp(-SUM/2)= .67718
 b-rank test for bits  5 to 12 p=1-exp(-SUM/2)= .77278
 b-rank test for bits  6 to 13 p=1-exp(-SUM/2)= .29866
 b-rank test for bits  7 to 14 p=1-exp(-SUM/2)= .55543
 b-rank test for bits  8 to 15 p=1-exp(-SUM/2)= .89863
 b-rank test for bits  9 to 16 p=1-exp(-SUM/2)= .02014
 b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .70409
 b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .18341
 b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .57901
 b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .82117
 b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .70139
 b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .39041
 b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .33125
 b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .75818
 b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .40044
 b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .28629
 b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .72760
 b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .08649
 b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .48506
 b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .18023
 b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .18859
 b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .77976
   TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices
 These should be 25 uniform [0,1] random variables:
     .444015     .312901     .081705     .677185     .772781
     .298656     .555428     .898628     .020145     .704092
     .183406     .579009     .821167     .701386     .390409
     .331246     .758176     .400443     .286294     .727604
     .086490     .485058     .180225     .188593     .779759
   brank test summary for xrb_vn.dat     
       The KS test for those 25 supposed UNI's yields
                    KS p-value= .307982
--------------------------------------------------------------------------------
  No. missing words should average  141909. with sigma=428.
 tst no  1:  142689 missing words,    1.82 sigmas from mean, p-value= .96575
 tst no  2:  140993 missing words,   -2.14 sigmas from mean, p-value= .01614
 tst no  3:  141848 missing words,    -.14 sigmas from mean, p-value= .44303
 tst no  4:  142332 missing words,     .99 sigmas from mean, p-value= .83831
 tst no  5:  141752 missing words,    -.37 sigmas from mean, p-value= .35659
 tst no  6:  141810 missing words,    -.23 sigmas from mean, p-value= .40824
 tst no  7:  142531 missing words,    1.45 sigmas from mean, p-value= .92682
 tst no  8:  142090 missing words,     .42 sigmas from mean, p-value= .66354
 tst no  9:  141416 missing words,   -1.15 sigmas from mean, p-value= .12453
 tst no 10:  141270 missing words,   -1.49 sigmas from mean, p-value= .06762
 tst no 11:  142283 missing words,     .87 sigmas from mean, p-value= .80869
 tst no 12:  141399 missing words,   -1.19 sigmas from mean, p-value= .11656
 tst no 13:  142464 missing words,    1.30 sigmas from mean, p-value= .90251
 tst no 14:  141398 missing words,   -1.19 sigmas from mean, p-value= .11610
 tst no 15:  141643 missing words,    -.62 sigmas from mean, p-value= .26688
 tst no 16:  141187 missing words,   -1.69 sigmas from mean, p-value= .04574
 tst no 17:  141545 missing words,    -.85 sigmas from mean, p-value= .19732
 tst no 18:  141527 missing words,    -.89 sigmas from mean, p-value= .18585
 tst no 19:  141786 missing words,    -.29 sigmas from mean, p-value= .38662
 tst no 20:  141780 missing words,    -.30 sigmas from mean, p-value= .38126
--------------------------------------------------------------------------------
    OPSO for xrb_vn.dat      using bits 23 to 32        141973   .220  .5869
    OPSO for xrb_vn.dat      using bits 22 to 31        141657  -.870  .1921
    OPSO for xrb_vn.dat      using bits 21 to 30        142095   .640  .7390
    OPSO for xrb_vn.dat      using bits 20 to 29        142207  1.026  .8477
    OPSO for xrb_vn.dat      using bits 19 to 28        142448  1.857  .9684
    OPSO for xrb_vn.dat      using bits 18 to 27        142567  2.268  .9883
    OPSO for xrb_vn.dat      using bits 17 to 26        141752  -.543  .2937
    OPSO for xrb_vn.dat      using bits 16 to 25        141724  -.639  .2614
    OPSO for xrb_vn.dat      using bits 15 to 24        141648  -.901  .1838
    OPSO for xrb_vn.dat      using bits 14 to 23        141941   .109  .5435
    OPSO for xrb_vn.dat      using bits 13 to 22        141742  -.577  .2820
    OPSO for xrb_vn.dat      using bits 12 to 21        141959   .171  .5680
    OPSO for xrb_vn.dat      using bits 11 to 20        141928   .064  .5257
    OPSO for xrb_vn.dat      using bits 10 to 19        142097   .647  .7412
    OPSO for xrb_vn.dat      using bits  9 to 18        142026   .402  .6563
    OPSO for xrb_vn.dat      using bits  8 to 17        141834  -.260  .3975
    OPSO for xrb_vn.dat      using bits  7 to 16        142297  1.337  .9094
    OPSO for xrb_vn.dat      using bits  6 to 15        142533  2.151  .9842
    OPSO for xrb_vn.dat      using bits  5 to 14        141959   .171  .5680
    OPSO for xrb_vn.dat      using bits  4 to 13        142166   .885  .8119
    OPSO for xrb_vn.dat      using bits  3 to 12        141351 -1.925  .0271
    OPSO for xrb_vn.dat      using bits  2 to 11        141755  -.532  .2973
    OPSO for xrb_vn.dat      using bits  1 to 10        142332  1.457  .9275
    OQSO for xrb_vn.dat      using bits 28 to 32        141629  -.950  .1710
    OQSO for xrb_vn.dat      using bits 27 to 31        141382 -1.788  .0369
    OQSO for xrb_vn.dat      using bits 26 to 30        141885  -.082  .4671
    OQSO for xrb_vn.dat      using bits 25 to 29        141620  -.981  .1634
    OQSO for xrb_vn.dat      using bits 24 to 28        141906  -.011  .4955
    OQSO for xrb_vn.dat      using bits 23 to 27        141782  -.432  .3330
    OQSO for xrb_vn.dat      using bits 22 to 26        141954   .151  .5602
    OQSO for xrb_vn.dat      using bits 21 to 25        141868  -.140  .4443
    OQSO for xrb_vn.dat      using bits 20 to 24        141865  -.150  .4403
    OQSO for xrb_vn.dat      using bits 19 to 23        141743  -.564  .2864
    OQSO for xrb_vn.dat      using bits 18 to 22        141945   .121  .5481
    OQSO for xrb_vn.dat      using bits 17 to 21        141945   .121  .5481
    OQSO for xrb_vn.dat      using bits 16 to 20        141807  -.347  .3643
    OQSO for xrb_vn.dat      using bits 15 to 19        141913   .012  .5050
    OQSO for xrb_vn.dat      using bits 14 to 18        141812  -.330  .3707
    OQSO for xrb_vn.dat      using bits 13 to 17        142349  1.490  .9319
    OQSO for xrb_vn.dat      using bits 12 to 16        142619  2.406  .9919
    OQSO for xrb_vn.dat      using bits 11 to 15        141632  -.940  .1736
    OQSO for xrb_vn.dat      using bits 10 to 14        141990   .273  .6078
    OQSO for xrb_vn.dat      using bits  9 to 13        142001   .311  .6220
    OQSO for xrb_vn.dat      using bits  8 to 12        141963   .182  .5722
    OQSO for xrb_vn.dat      using bits  7 to 11        142167   .873  .8088
    OQSO for xrb_vn.dat      using bits  6 to 10        142333  1.436  .9245
    OQSO for xrb_vn.dat      using bits  5 to  9        141730  -.608  .2716
    OQSO for xrb_vn.dat      using bits  4 to  8        141949   .134  .5535
    OQSO for xrb_vn.dat      using bits  3 to  7        141732  -.601  .2739
    OQSO for xrb_vn.dat      using bits  2 to  6        142094   .626  .7343
    OQSO for xrb_vn.dat      using bits  1 to  5        142492  1.975  .9759
     DNA for xrb_vn.dat      using bits 31 to 32        141774  -.399  .3449
     DNA for xrb_vn.dat      using bits 30 to 31        141868  -.122  .4515
     DNA for xrb_vn.dat      using bits 29 to 30        141846  -.187  .4259
     DNA for xrb_vn.dat      using bits 28 to 29        142183   .807  .7903
     DNA for xrb_vn.dat      using bits 27 to 28        142001   .270  .6066
     DNA for xrb_vn.dat      using bits 26 to 27        141788  -.358  .3602
     DNA for xrb_vn.dat      using bits 25 to 26        141917   .023  .5090
     DNA for xrb_vn.dat      using bits 24 to 25        141746  -.482  .3150
     DNA for xrb_vn.dat      using bits 23 to 24        141652  -.759  .2239
     DNA for xrb_vn.dat      using bits 22 to 23        141233 -1.995  .0230
     DNA for xrb_vn.dat      using bits 21 to 22        141668  -.712  .2383
     DNA for xrb_vn.dat      using bits 20 to 21        142259  1.031  .8488
     DNA for xrb_vn.dat      using bits 19 to 20        141639  -.797  .2126
     DNA for xrb_vn.dat      using bits 18 to 19        142510  1.772  .9618
     DNA for xrb_vn.dat      using bits 17 to 18        142017   .318  .6246
     DNA for xrb_vn.dat      using bits 16 to 17        142047   .406  .6577
     DNA for xrb_vn.dat      using bits 15 to 16        142417  1.498  .9329
     DNA for xrb_vn.dat      using bits 14 to 15        141507 -1.187  .1177
     DNA for xrb_vn.dat      using bits 13 to 14        141555 -1.045  .1480
     DNA for xrb_vn.dat      using bits 12 to 13        141371 -1.588  .0561
     DNA for xrb_vn.dat      using bits 11 to 12        141398 -1.508  .0657
     DNA for xrb_vn.dat      using bits 10 to 11        141883  -.078  .4690
     DNA for xrb_vn.dat      using bits  9 to 10        141942   .096  .5384
     DNA for xrb_vn.dat      using bits  8 to  9        141578  -.977  .1642
     DNA for xrb_vn.dat      using bits  7 to  8        142010   .297  .6168
     DNA for xrb_vn.dat      using bits  6 to  7        142176   .787  .7843
     DNA for xrb_vn.dat      using bits  5 to  6        142049   .412  .6598
     DNA for xrb_vn.dat      using bits  4 to  5        141672  -.700  .2419
     DNA for xrb_vn.dat      using bits  3 to  4        142113   .601  .7260
     DNA for xrb_vn.dat      using bits  2 to  3        142251  1.008  .8432
     DNA for xrb_vn.dat      using bits  1 to  2        141941   .093  .5372
--------------------------------------------------------------------------------
   Test results for xrb_vn.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_vn.dat       2565.45       .926      .822683
 byte stream for xrb_vn.dat       2486.08      -.197      .421960
--------------------------------------------------------------------------------
 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  2390.51     -1.548      .060759
           bits  2 to  9  2497.68      -.033      .486907
           bits  3 to 10  2333.72     -2.352      .009348
           bits  4 to 11  2500.58       .008      .503289
           bits  5 to 12  2488.25      -.166      .434016
           bits  6 to 13  2392.21     -1.524      .063708
           bits  7 to 14  2529.18       .413      .660100
           bits  8 to 15  2392.50     -1.520      .064217
           bits  9 to 16  2568.75       .972      .834533
           bits 10 to 17  2489.88      -.143      .443115
           bits 11 to 18  2522.04       .312      .622379
           bits 12 to 19  2453.35      -.660      .254692
           bits 13 to 20  2465.23      -.492      .311468
           bits 14 to 21  2621.32      1.716      .956895
           bits 15 to 22  2564.07       .906      .817548
           bits 16 to 23  2510.29       .146      .557851
           bits 17 to 24  2608.27      1.531      .937130
           bits 18 to 25  2448.67      -.726      .233934
           bits 19 to 26  2629.85      1.836      .966853
           bits 20 to 27  2509.23       .131      .551922
           bits 21 to 28  2416.90     -1.175      .119956
           bits 22 to 29  2433.54      -.940      .173621
           bits 23 to 30  2576.62      1.084      .860713
           bits 24 to 31  2471.91      -.397      .345602
           bits 25 to 32  2489.86      -.143      .443005
--------------------------------------------------------------------------------
           CDPARK: result of ten tests on file xrb_vn.dat     
            Of 12,000 tries, the average no. of successes
                 should be 3523 with sigma=21.9
            Successes: 3497    z-score: -1.187 p-value: .117571
            Successes: 3525    z-score:   .091 p-value: .536382
            Successes: 3516    z-score:  -.320 p-value: .374623
            Successes: 3540    z-score:   .776 p-value: .781201
            Successes: 3530    z-score:   .320 p-value: .625377
            Successes: 3516    z-score:  -.320 p-value: .374623
            Successes: 3527    z-score:   .183 p-value: .572463
            Successes: 3516    z-score:  -.320 p-value: .374623
            Successes: 3520    z-score:  -.137 p-value: .445521
            Successes: 3516    z-score:  -.320 p-value: .374623
 
           square size   avg. no.  parked   sample sigma
             100.            3520.300       10.803
            KSTEST for the above 10: p=  .724797
--------------------------------------------------------------------------------
               This is the MINIMUM DISTANCE test
              for random integers in the file xrb_vn.dat     
     Sample no.    d^2     avg     equiv uni            
           5     .3844    .5461     .320470
          10     .1603    .6711     .148779
          15     .0871    .6294     .083831
          20    1.6458    .7296     .808731
          25     .9163    .8094     .601830
          30    1.3818    .8843     .750606
          35    3.5790    .8923     .972593
          40    1.4553    .9261     .768377
          45     .3078    .8878     .266053
          50     .5571    .9295     .428748
          55     .4738    .9306     .378827
          60     .0754    .9178     .072946
          65    1.4098    .9360     .757520
          70    4.0155    .9869     .982327
          75    1.6329    .9675     .806242
          80     .0021    .9733     .002080
          85     .2627    .9428     .232034
          90     .0930    .9095     .089216
          95    2.0067    .9146     .866919
         100     .4590    .8925     .369558
     MINIMUM DISTANCE TEST for xrb_vn.dat     
          Result of KS test on 20 transformed mindist^2's:
                                  p-value= .588006
--------------------------------------------------------------------------------
               The 3DSPHERES test for file xrb_vn.dat     
 sample no:  1     r^3=  57.898     p-value= .85484
 sample no:  2     r^3=  19.573     p-value= .47922
 sample no:  3     r^3=   3.760     p-value= .11781
 sample no:  4     r^3=  23.417     p-value= .54186
 sample no:  5     r^3=  13.759     p-value= .36785
 sample no:  6     r^3=   1.163     p-value= .03803
 sample no:  7     r^3=   3.181     p-value= .10061
 sample no:  8     r^3=  20.373     p-value= .49293
 sample no:  9     r^3=   5.425     p-value= .16544
 sample no: 10     r^3=  40.025     p-value= .73662
 sample no: 11     r^3=   1.927     p-value= .06222
 sample no: 12     r^3=  25.049     p-value= .56611
 sample no: 13     r^3=  61.757     p-value= .87236
 sample no: 14     r^3=  31.346     p-value= .64826
 sample no: 15     r^3=   1.450     p-value= .04719
 sample no: 16     r^3=  53.003     p-value= .82911
 sample no: 17     r^3=  19.263     p-value= .47381
 sample no: 18     r^3=  51.196     p-value= .81851
 sample no: 19     r^3=   5.022     p-value= .15413
 sample no: 20     r^3=   1.789     p-value= .05789
       3DSPHERES test for file xrb_vn.dat           p-value= .793287
--------------------------------------------------------------------------------
            RESULTS OF SQUEEZE TEST FOR xrb_vn.dat     
         Table of standardized frequency counts
     ( (obs-exp)/sqrt(exp) )^2
        for j taking values <=6,7,8,...,47,>=48:
     -.1     -.3      .1      .2      .9     -.4
     -.5     -.6     -.5    -1.6    -1.2    -2.0
      .7      .8     -.8     -.7      .5      .0
     1.0     -.1     2.1     -.5      .4      .7
      .2      .4      .3     -.5     -.6     -.1
      .2     -.4      .9     -.9      .9     -.1
    -1.2      .5     -.4     1.5      .1      .0
    -1.1
           Chi-square with 42 degrees of freedom: 27.569
              z-score= -1.575  p-value= .042066
______________________________________________________________
--------------------------------------------------------------------------------
                Test no.  1      p-value  .406738
                Test no.  2      p-value  .160511
                Test no.  3      p-value  .895587
                Test no.  4      p-value  .780665
                Test no.  5      p-value  .571511
                Test no.  6      p-value  .944295
                Test no.  7      p-value  .366951
                Test no.  8      p-value  .840572
                Test no.  9      p-value  .894781
                Test no. 10      p-value  .661837
   Results of the OSUM test for xrb_vn.dat     
        KSTEST on the above 10 p-values:  .843410
--------------------------------------------------------------------------------
           The RUNS test for file xrb_vn.dat     
     Up and down runs in a sample of 10000
_________________________________________________ 
                 Run test for xrb_vn.dat     :
       runs up; ks test for 10 p's: .473683
     runs down; ks test for 10 p's: .988736
                 Run test for xrb_vn.dat     :
       runs up; ks test for 10 p's: .153302
     runs down; ks test for 10 p's: .316929
--------------------------------------------------------------------------------
                Results of craps test for xrb_vn.dat     
  No. of wins:  Observed Expected
                                98750    98585.86
 Chisq=  23.03 for 20 degrees of freedom, p=  .71246
               Throws Observed Expected  Chisq     Sum
            SUMMARY  FOR xrb_vn.dat     
                p-value for no. of wins: .768566
                p-value for throws/game: .712459
  Test completed.  File xrb_vn.dat     
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
