 BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA=  2.0000
           xr_xor.dat      using bits  1 to 24 p-value=  .845244
           xr_xor.dat      using bits  2 to 25 p-value=  .603467
           xr_xor.dat      using bits  3 to 26 p-value=  .887928
           xr_xor.dat      using bits  4 to 27 p-value=  .119072
           xr_xor.dat      using bits  5 to 28 p-value=  .594885
           xr_xor.dat      using bits  6 to 29 p-value=  .593670
           xr_xor.dat      using bits  7 to 30 p-value=  .281768
           xr_xor.dat      using bits  8 to 31 p-value=  .645277
           xr_xor.dat      using bits  9 to 32 p-value=  .482303
   The 9 p-values were
        .845244   .603467   .887928   .119072   .594885
        .593670   .281768   .645277   .482303
  A KSTEST for the 9 p-values yields  .398274
--------------------------------------------------------------------------------
           OPERM5 test for file xr_xor.dat     
 chisquare for 99 degrees of freedom=102.468; p-value= .614468
           OPERM5 test for file xr_xor.dat     
 chisquare for 99 degrees of freedom=118.207; p-value= .908654
--------------------------------------------------------------------------------
    Binary rank test for xr_xor.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       217     211.4   .147379     .147
        29      5193    5134.0   .677792     .825
        30     22927   23103.0  1.341490    2.167
        31     11663   11551.5  1.075772    3.242
  chisquare= 3.242 for 3 d. of f.; p-value= .680142
    Binary rank test for xr_xor.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       230     211.4  1.633211    1.633
        30      5140    5134.0   .006988    1.640
        31     22966   23103.0   .812960    2.453
        32     11664   11551.5  1.095159    3.548
  chisquare= 3.548 for 3 d. of f.; p-value= .715254
--------------------------------------------------------------------------------
 b-rank test for bits  1 to  8 p=1-exp(-SUM/2)= .77253
 b-rank test for bits  2 to  9 p=1-exp(-SUM/2)= .27905
 b-rank test for bits  3 to 10 p=1-exp(-SUM/2)= .64979
 b-rank test for bits  4 to 11 p=1-exp(-SUM/2)= .45265
 b-rank test for bits  5 to 12 p=1-exp(-SUM/2)= .22517
 b-rank test for bits  6 to 13 p=1-exp(-SUM/2)= .33028
 b-rank test for bits  7 to 14 p=1-exp(-SUM/2)= .65482
 b-rank test for bits  8 to 15 p=1-exp(-SUM/2)= .49724
 b-rank test for bits  9 to 16 p=1-exp(-SUM/2)= .87243
 b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .65844
 b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .72175
 b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .61443
 b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .84763
 b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .81117
 b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .60711
 b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .91308
 b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .00856
 b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .00148
 b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .19994
 b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .07367
 b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .20578
 b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .97192
 b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .19456
 b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .43682
 b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .39055
   TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices
 These should be 25 uniform [0,1] random variables:
     .772531     .279048     .649794     .452654     .225173
     .330277     .654819     .497245     .872432     .658444
     .721751     .614434     .847633     .811169     .607107
     .913079     .008561     .001477     .199937     .073671
     .205780     .971925     .194563     .436818     .390553
   brank test summary for xr_xor.dat     
       The KS test for those 25 supposed UNI's yields
                    KS p-value= .096110
--------------------------------------------------------------------------------
  No. missing words should average  141909. with sigma=428.
 tst no  1:  142991 missing words,    2.53 sigmas from mean, p-value= .99425
 tst no  2:  141262 missing words,   -1.51 sigmas from mean, p-value= .06521
 tst no  3:  142129 missing words,     .51 sigmas from mean, p-value= .69611
 tst no  4:  142188 missing words,     .65 sigmas from mean, p-value= .74251
 tst no  5:  142696 missing words,    1.84 sigmas from mean, p-value= .96697
 tst no  6:  142542 missing words,    1.48 sigmas from mean, p-value= .93032
 tst no  7:  142266 missing words,     .83 sigmas from mean, p-value= .79768
 tst no  8:  141817 missing words,    -.22 sigmas from mean, p-value= .41460
 tst no  9:  142098 missing words,     .44 sigmas from mean, p-value= .67033
 tst no 10:  141717 missing words,    -.45 sigmas from mean, p-value= .32658
 tst no 11:  141315 missing words,   -1.39 sigmas from mean, p-value= .08247
 tst no 12:  141865 missing words,    -.10 sigmas from mean, p-value= .45876
 tst no 13:  141944 missing words,     .08 sigmas from mean, p-value= .53228
 tst no 14:  142862 missing words,    2.23 sigmas from mean, p-value= .98699
 tst no 15:  142366 missing words,    1.07 sigmas from mean, p-value= .85701
 tst no 16:  140924 missing words,   -2.30 sigmas from mean, p-value= .01066
 tst no 17:  141096 missing words,   -1.90 sigmas from mean, p-value= .02870
 tst no 18:  141421 missing words,   -1.14 sigmas from mean, p-value= .12694
 tst no 19:  141649 missing words,    -.61 sigmas from mean, p-value= .27151
 tst no 20:  142733 missing words,    1.92 sigmas from mean, p-value= .97285
--------------------------------------------------------------------------------
    OPSO for xr_xor.dat      using bits 23 to 32        141840  -.239  .4055
    OPSO for xr_xor.dat      using bits 22 to 31        142160   .864  .8063
    OPSO for xr_xor.dat      using bits 21 to 30        141743  -.574  .2831
    OPSO for xr_xor.dat      using bits 20 to 29        141608 -1.039  .1494
    OPSO for xr_xor.dat      using bits 19 to 28        141906  -.011  .4954
    OPSO for xr_xor.dat      using bits 18 to 27        141926   .057  .5229
    OPSO for xr_xor.dat      using bits 17 to 26        141289 -2.139  .0162
    OPSO for xr_xor.dat      using bits 16 to 25        142228  1.099  .8641
    OPSO for xr_xor.dat      using bits 15 to 24        141806  -.356  .3608
    OPSO for xr_xor.dat      using bits 14 to 23        141735  -.601  .2739
    OPSO for xr_xor.dat      using bits 13 to 22        141827  -.284  .3882
    OPSO for xr_xor.dat      using bits 12 to 21        141754  -.536  .2961
    OPSO for xr_xor.dat      using bits 11 to 20        142252  1.182  .8813
    OPSO for xr_xor.dat      using bits 10 to 19        141696  -.736  .2310
    OPSO for xr_xor.dat      using bits  9 to 18        141529 -1.311  .0948
    OPSO for xr_xor.dat      using bits  8 to 17        141528 -1.315  .0943
    OPSO for xr_xor.dat      using bits  7 to 16        142587  2.337  .9903
    OPSO for xr_xor.dat      using bits  6 to 15        142592  2.354  .9907
    OPSO for xr_xor.dat      using bits  5 to 14        141910   .002  .5009
    OPSO for xr_xor.dat      using bits  4 to 13        141878  -.108  .4570
    OPSO for xr_xor.dat      using bits  3 to 12        142007   .337  .6319
    OPSO for xr_xor.dat      using bits  2 to 11        141740  -.584  .2796
    OPSO for xr_xor.dat      using bits  1 to 10        142240  1.140  .8729
    OQSO for xr_xor.dat      using bits 28 to 32        142031   .412  .6600
    OQSO for xr_xor.dat      using bits 27 to 31        142272  1.229  .8905
    OQSO for xr_xor.dat      using bits 26 to 30        142039   .440  .6699
    OQSO for xr_xor.dat      using bits 25 to 29        141831  -.266  .3953
    OQSO for xr_xor.dat      using bits 24 to 28        142537  2.128  .9833
    OQSO for xr_xor.dat      using bits 23 to 27        142053   .487  .6869
    OQSO for xr_xor.dat      using bits 22 to 26        142239  1.118  .8681
    OQSO for xr_xor.dat      using bits 21 to 25        142123   .724  .7656
    OQSO for xr_xor.dat      using bits 20 to 24        141993   .284  .6117
    OQSO for xr_xor.dat      using bits 19 to 23        141730  -.608  .2716
    OQSO for xr_xor.dat      using bits 18 to 22        141729  -.611  .2705
    OQSO for xr_xor.dat      using bits 17 to 21        142286  1.277  .8992
    OQSO for xr_xor.dat      using bits 16 to 20        141832  -.262  .3966
    OQSO for xr_xor.dat      using bits 15 to 19        141874  -.120  .4523
    OQSO for xr_xor.dat      using bits 14 to 18        141743  -.564  .2864
    OQSO for xr_xor.dat      using bits 13 to 17        141708  -.682  .2475
    OQSO for xr_xor.dat      using bits 12 to 16        142065   .528  .7011
    OQSO for xr_xor.dat      using bits 11 to 15        141731  -.605  .2728
    OQSO for xr_xor.dat      using bits 10 to 14        141540 -1.252  .1053
    OQSO for xr_xor.dat      using bits  9 to 13        141348 -1.903  .0285
    OQSO for xr_xor.dat      using bits  8 to 12        141547 -1.228  .1097
    OQSO for xr_xor.dat      using bits  7 to 11        141972   .212  .5841
    OQSO for xr_xor.dat      using bits  6 to 10        142333  1.436  .9245
    OQSO for xr_xor.dat      using bits  5 to  9        141770  -.472  .3184
    OQSO for xr_xor.dat      using bits  4 to  8        141992   .280  .6104
    OQSO for xr_xor.dat      using bits  3 to  7        141290 -2.099  .0179
    OQSO for xr_xor.dat      using bits  2 to  6        141593 -1.072  .1418
    OQSO for xr_xor.dat      using bits  1 to  5        141426 -1.638  .0507
     DNA for xr_xor.dat      using bits 31 to 32        141958   .144  .5571
     DNA for xr_xor.dat      using bits 30 to 31        142011   .300  .6179
     DNA for xr_xor.dat      using bits 29 to 30        142177   .790  .7851
     DNA for xr_xor.dat      using bits 28 to 29        141877  -.095  .4620
     DNA for xr_xor.dat      using bits 27 to 28        142444  1.577  .9426
     DNA for xr_xor.dat      using bits 26 to 27        141719  -.561  .2872
     DNA for xr_xor.dat      using bits 25 to 26        141684  -.665  .2531
     DNA for xr_xor.dat      using bits 24 to 25        141677  -.685  .2466
     DNA for xr_xor.dat      using bits 23 to 24        142704  2.344  .9905
     DNA for xr_xor.dat      using bits 22 to 23        142418  1.501  .9333
     DNA for xr_xor.dat      using bits 21 to 22        142087   .524  .6999
     DNA for xr_xor.dat      using bits 20 to 21        141436 -1.396  .0813
     DNA for xr_xor.dat      using bits 19 to 20        141935   .076  .5302
     DNA for xr_xor.dat      using bits 18 to 19        141523 -1.140  .1272
     DNA for xr_xor.dat      using bits 17 to 18        142455  1.610  .9463
     DNA for xr_xor.dat      using bits 16 to 17        141378 -1.567  .0585
     DNA for xr_xor.dat      using bits 15 to 16        142178   .793  .7860
     DNA for xr_xor.dat      using bits 14 to 15        142213   .896  .8148
     DNA for xr_xor.dat      using bits 13 to 14        142105   .577  .7181
     DNA for xr_xor.dat      using bits 12 to 13        141913   .011  .5043
     DNA for xr_xor.dat      using bits 11 to 12        141710  -.588  .2783
     DNA for xr_xor.dat      using bits 10 to 11        141998   .262  .6032
     DNA for xr_xor.dat      using bits  9 to 10        142185   .813  .7919
     DNA for xr_xor.dat      using bits  8 to  9        142096   .551  .7091
     DNA for xr_xor.dat      using bits  7 to  8        141339 -1.682  .0462
     DNA for xr_xor.dat      using bits  6 to  7        141862  -.140  .4445
     DNA for xr_xor.dat      using bits  5 to  6        142531  1.834  .9667
     DNA for xr_xor.dat      using bits  4 to  5        142127   .642  .7396
     DNA for xr_xor.dat      using bits  3 to  4        142277  1.085  .8609
     DNA for xr_xor.dat      using bits  2 to  3        141755  -.455  .3245
     DNA for xr_xor.dat      using bits  1 to  2        142152   .716  .7630
--------------------------------------------------------------------------------
   Test results for xr_xor.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 xr_xor.dat       2359.44     -1.988      .023419
 byte stream for xr_xor.dat       2542.78       .605      .727413
--------------------------------------------------------------------------------
 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  2525.15       .356      .638963
           bits  2 to  9  2480.25      -.279      .389999
           bits  3 to 10  2534.70       .491      .688190
           bits  4 to 11  2556.70       .802      .788671
           bits  5 to 12  2599.59      1.408      .920487
           bits  6 to 13  2516.75       .237      .593607
           bits  7 to 14  2553.39       .755      .774872
           bits  8 to 15  2432.39      -.956      .169488
           bits  9 to 16  2475.44      -.347      .364187
           bits 10 to 17  2399.70     -1.418      .078027
           bits 11 to 18  2539.73       .562      .712913
           bits 12 to 19  2253.30     -3.489      .000243
           bits 13 to 20  2584.98      1.202      .885287
           bits 14 to 21  2542.15       .596      .724428
           bits 15 to 22  2532.86       .465      .678929
           bits 16 to 23  2438.04      -.876      .190439
           bits 17 to 24  2575.00      1.061      .855594
           bits 18 to 25  2389.53     -1.562      .059118
           bits 19 to 26  2505.92       .084      .533361
           bits 20 to 27  2490.11      -.140      .444360
           bits 21 to 28  2535.01       .495      .689752
           bits 22 to 29  2379.43     -1.705      .044089
           bits 23 to 30  2551.18       .724      .765389
           bits 24 to 31  2441.71      -.824      .204863
           bits 25 to 32  2503.71       .053      .520948
--------------------------------------------------------------------------------
           CDPARK: result of ten tests on file xr_xor.dat     
            Of 12,000 tries, the average no. of successes
                 should be 3523 with sigma=21.9
            Successes: 3547    z-score:  1.096 p-value: .863437
            Successes: 3479    z-score: -2.009 p-value: .022262
            Successes: 3538    z-score:   .685 p-value: .753306
            Successes: 3547    z-score:  1.096 p-value: .863437
            Successes: 3501    z-score: -1.005 p-value: .157553
            Successes: 3533    z-score:   .457 p-value: .676028
            Successes: 3543    z-score:   .913 p-value: .819442
            Successes: 3546    z-score:  1.050 p-value: .853193
            Successes: 3517    z-score:  -.274 p-value: .392053
            Successes: 3506    z-score:  -.776 p-value: .218799
 
           square size   avg. no.  parked   sample sigma
             100.            3525.700       22.546
            KSTEST for the above 10: p=  .550196
--------------------------------------------------------------------------------
               This is the MINIMUM DISTANCE test
              for random integers in the file xr_xor.dat     
     Sample no.    d^2     avg     equiv uni            
           5     .4345    .9418     .353851
          10     .3664   1.1707     .308051
          15     .1990   1.1693     .181259
          20    3.9643   1.1738     .981393
          25     .3113   1.0925     .268655
          30     .9885   1.0230     .629694
          35     .4057   1.0134     .334850
          40     .4346   1.0251     .353895
          45     .2964   1.1121     .257608
          50     .9055   1.1633     .597484
          55    1.2636   1.1116     .719168
          60     .3767   1.1182     .315157
          65    1.3018   1.1249     .729728
          70    3.1793   1.1633     .959044
          75    1.7409   1.1354     .826163
          80     .6662   1.1930     .488079
          85     .4520   1.1640     .365118
          90     .1708   1.1504     .157724
          95     .8111   1.1346     .557432
         100     .9171   1.1607     .602162
     MINIMUM DISTANCE TEST for xr_xor.dat     
          Result of KS test on 20 transformed mindist^2's:
                                  p-value= .941210
--------------------------------------------------------------------------------
               The 3DSPHERES test for file xr_xor.dat     
 sample no:  1     r^3=  17.227     p-value= .43686
 sample no:  2     r^3= 108.820     p-value= .97341
 sample no:  3     r^3=   5.994     p-value= .18110
 sample no:  4     r^3=   9.712     p-value= .27655
 sample no:  5     r^3=  38.093     p-value= .71911
 sample no:  6     r^3=  30.498     p-value= .63818
 sample no:  7     r^3=  20.063     p-value= .48766
 sample no:  8     r^3=  51.715     p-value= .82162
 sample no:  9     r^3=  42.674     p-value= .75889
 sample no: 10     r^3=   1.326     p-value= .04325
 sample no: 11     r^3=  39.314     p-value= .73031
 sample no: 12     r^3=  54.674     p-value= .83837
 sample no: 13     r^3=   6.411     p-value= .19241
 sample no: 14     r^3=  37.677     p-value= .71518
 sample no: 15     r^3=  25.390     p-value= .57102
 sample no: 16     r^3=  55.254     p-value= .84147
 sample no: 17     r^3=  67.532     p-value= .89471
 sample no: 18     r^3=  16.003     p-value= .41342
 sample no: 19     r^3= 110.110     p-value= .97453
 sample no: 20     r^3=  28.875     p-value= .61807
       3DSPHERES test for file xr_xor.dat           p-value= .829936
--------------------------------------------------------------------------------
            RESULTS OF SQUEEZE TEST FOR xr_xor.dat     
         Table of standardized frequency counts
     ( (obs-exp)/sqrt(exp) )^2
        for j taking values <=6,7,8,...,47,>=48:
     2.0     -.3      .3      .0     -.3     -.8
      .7     1.0      .8      .2      .7    -1.1
      .1     -.3    -1.4     -.3     -.1     -.7
     -.5     2.0      .9      .3     -.6      .4
      .1     -.7     -.4      .4     -.6      .5
      .0     1.8     -.9      .5     -.1    -1.2
     1.2    -1.3      .9      .4     -.6     1.0
      .8
           Chi-square with 42 degrees of freedom: 30.903
              z-score= -1.211  p-value= .103169
______________________________________________________________
--------------------------------------------------------------------------------
                Test no.  1      p-value  .776129
                Test no.  2      p-value  .628637
                Test no.  3      p-value  .842610
                Test no.  4      p-value  .811350
                Test no.  5      p-value  .113438
                Test no.  6      p-value  .287594
                Test no.  7      p-value  .058362
                Test no.  8      p-value  .467854
                Test no.  9      p-value  .947156
                Test no. 10      p-value  .993586
   Results of the OSUM test for xr_xor.dat     
        KSTEST on the above 10 p-values:  .634854
--------------------------------------------------------------------------------
           The RUNS test for file xr_xor.dat     
     Up and down runs in a sample of 10000
_________________________________________________ 
                 Run test for xr_xor.dat     :
       runs up; ks test for 10 p's: .636849
     runs down; ks test for 10 p's: .366161
                 Run test for xr_xor.dat     :
       runs up; ks test for 10 p's: .089976
     runs down; ks test for 10 p's: .374932
--------------------------------------------------------------------------------
                Results of craps test for xr_xor.dat     
  No. of wins:  Observed Expected
                                98524    98585.86
 Chisq=  17.35 for 20 degrees of freedom, p=  .36997
               Throws Observed Expected  Chisq     Sum
            SUMMARY  FOR xr_xor.dat     
                p-value for no. of wins: .391016
                p-value for throws/game: .369972
  Test completed.  File xr_xor.dat     
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
