 BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA=  2.0000
           xr_bxor.dat     using bits  1 to 24 p-value=  .553299
           xr_bxor.dat     using bits  2 to 25 p-value=  .448402
           xr_bxor.dat     using bits  3 to 26 p-value=  .795446
           xr_bxor.dat     using bits  4 to 27 p-value=  .320802
           xr_bxor.dat     using bits  5 to 28 p-value=  .420644
           xr_bxor.dat     using bits  6 to 29 p-value=  .974442
           xr_bxor.dat     using bits  7 to 30 p-value=  .477615
           xr_bxor.dat     using bits  8 to 31 p-value=  .341628
           xr_bxor.dat     using bits  9 to 32 p-value=  .096074
   The 9 p-values were
        .553299   .448402   .795446   .320802   .420644
        .974442   .477615   .341628   .096074
  A KSTEST for the 9 p-values yields  .243465
--------------------------------------------------------------------------------
           OPERM5 test for file xr_bxor.dat    
 chisquare for 99 degrees of freedom= 86.565; p-value= .190473
           OPERM5 test for file xr_bxor.dat    
 chisquare for 99 degrees of freedom=132.218; p-value= .985532
--------------------------------------------------------------------------------
    Binary rank test for xr_bxor.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       243     211.4  4.717771    4.718
        29      5172    5134.0   .281110    4.999
        30     23116   23103.0   .007262    5.006
        31     11469   11551.5   .589557    5.596
  chisquare= 5.596 for 3 d. of f.; p-value= .875977
    Binary rank test for xr_bxor.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       214     211.4   .031533     .032
        30      5123    5134.0   .023612     .055
        31     23189   23103.0   .319782     .375
        32     11474   11551.5   .520281     .895
  chisquare=  .895 for 3 d. of f.; p-value= .345451
--------------------------------------------------------------------------------
 b-rank test for bits  1 to  8 p=1-exp(-SUM/2)= .66037
 b-rank test for bits  2 to  9 p=1-exp(-SUM/2)= .26786
 b-rank test for bits  3 to 10 p=1-exp(-SUM/2)= .80517
 b-rank test for bits  4 to 11 p=1-exp(-SUM/2)= .27840
 b-rank test for bits  5 to 12 p=1-exp(-SUM/2)= .54664
 b-rank test for bits  6 to 13 p=1-exp(-SUM/2)= .97236
 b-rank test for bits  7 to 14 p=1-exp(-SUM/2)= .88456
 b-rank test for bits  8 to 15 p=1-exp(-SUM/2)= .82087
 b-rank test for bits  9 to 16 p=1-exp(-SUM/2)= .15892
 b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .41011
 b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .75989
 b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .43535
 b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .42512
 b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .01849
 b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .58710
 b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .18800
 b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .76661
 b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .05074
 b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .16802
 b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .02350
 b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .10321
 b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .94522
 b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .58719
 b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .76600
 b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .64724
   TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices
 These should be 25 uniform [0,1] random variables:
     .660367     .267865     .805171     .278403     .546637
     .972363     .884563     .820865     .158916     .410110
     .759885     .435351     .425119     .018489     .587101
     .188004     .766606     .050736     .168021     .023501
     .103210     .945216     .587185     .765997     .647238
   brank test summary for xr_bxor.dat    
       The KS test for those 25 supposed UNI's yields
                    KS p-value= .044499
--------------------------------------------------------------------------------
  No. missing words should average  141909. with sigma=428.
 tst no  1:  141925 missing words,     .04 sigmas from mean, p-value= .51460
 tst no  2:  141810 missing words,    -.23 sigmas from mean, p-value= .40824
 tst no  3:  142036 missing words,     .30 sigmas from mean, p-value= .61637
 tst no  4:  142299 missing words,     .91 sigmas from mean, p-value= .81871
 tst no  5:  141512 missing words,    -.93 sigmas from mean, p-value= .17662
 tst no  6:  141769 missing words,    -.33 sigmas from mean, p-value= .37151
 tst no  7:  141664 missing words,    -.57 sigmas from mean, p-value= .28326
 tst no  8:  141916 missing words,     .02 sigmas from mean, p-value= .50622
 tst no  9:  141390 missing words,   -1.21 sigmas from mean, p-value= .11249
 tst no 10:  141955 missing words,     .11 sigmas from mean, p-value= .54249
 tst no 11:  141529 missing words,    -.89 sigmas from mean, p-value= .18710
 tst no 12:  142387 missing words,    1.12 sigmas from mean, p-value= .86780
 tst no 13:  141702 missing words,    -.48 sigmas from mean, p-value= .31405
 tst no 14:  142324 missing words,     .97 sigmas from mean, p-value= .83369
 tst no 15:  141659 missing words,    -.58 sigmas from mean, p-value= .27931
 tst no 16:  141392 missing words,   -1.21 sigmas from mean, p-value= .11339
 tst no 17:  141067 missing words,   -1.97 sigmas from mean, p-value= .02453
 tst no 18:  141572 missing words,    -.79 sigmas from mean, p-value= .21530
 tst no 19:  142235 missing words,     .76 sigmas from mean, p-value= .77665
 tst no 20:  142072 missing words,     .38 sigmas from mean, p-value= .64805
--------------------------------------------------------------------------------
    OPSO for xr_bxor.dat     using bits 23 to 32        142356  1.540  .9383
    OPSO for xr_bxor.dat     using bits 22 to 31        142174   .913  .8193
    OPSO for xr_bxor.dat     using bits 21 to 30        142046   .471  .6813
    OPSO for xr_bxor.dat     using bits 20 to 29        142215  1.054  .8541
    OPSO for xr_bxor.dat     using bits 19 to 28        142169   .895  .8147
    OPSO for xr_bxor.dat     using bits 18 to 27        141504 -1.398  .0811
    OPSO for xr_bxor.dat     using bits 17 to 26        142070   .554  .7102
    OPSO for xr_bxor.dat     using bits 16 to 25        142306  1.368  .9143
    OPSO for xr_bxor.dat     using bits 15 to 24        142130   .761  .7767
    OPSO for xr_bxor.dat     using bits 14 to 23        141773  -.470  .3191
    OPSO for xr_bxor.dat     using bits 13 to 22        141449 -1.587  .0562
    OPSO for xr_bxor.dat     using bits 12 to 21        141770  -.480  .3155
    OPSO for xr_bxor.dat     using bits 11 to 20        142375  1.606  .9458
    OPSO for xr_bxor.dat     using bits 10 to 19        142048   .478  .6837
    OPSO for xr_bxor.dat     using bits  9 to 18        142178   .926  .8229
    OPSO for xr_bxor.dat     using bits  8 to 17        142508  2.064  .9805
    OPSO for xr_bxor.dat     using bits  7 to 16        142133   .771  .7797
    OPSO for xr_bxor.dat     using bits  6 to 15        142281  1.282  .9000
    OPSO for xr_bxor.dat     using bits  5 to 14        142208  1.030  .8485
    OPSO for xr_bxor.dat     using bits  4 to 13        142106   .678  .7512
    OPSO for xr_bxor.dat     using bits  3 to 12        142237  1.130  .8707
    OPSO for xr_bxor.dat     using bits  2 to 11        141997   .302  .6188
    OPSO for xr_bxor.dat     using bits  1 to 10        141839  -.243  .4042
    OQSO for xr_bxor.dat     using bits 28 to 32        142293  1.301  .9033
    OQSO for xr_bxor.dat     using bits 27 to 31        142115   .697  .7572
    OQSO for xr_bxor.dat     using bits 26 to 30        141976   .226  .5894
    OQSO for xr_bxor.dat     using bits 25 to 29        141999   .304  .6194
    OQSO for xr_bxor.dat     using bits 24 to 28        141586 -1.096  .1365
    OQSO for xr_bxor.dat     using bits 23 to 27        141668  -.818  .2067
    OQSO for xr_bxor.dat     using bits 22 to 26        141618  -.988  .1617
    OQSO for xr_bxor.dat     using bits 21 to 25        141965   .189  .5748
    OQSO for xr_bxor.dat     using bits 20 to 24        141548 -1.225  .1103
    OQSO for xr_bxor.dat     using bits 19 to 23        141419 -1.662  .0482
    OQSO for xr_bxor.dat     using bits 18 to 22        141384 -1.781  .0375
    OQSO for xr_bxor.dat     using bits 17 to 21        142080   .579  .7186
    OQSO for xr_bxor.dat     using bits 16 to 20        142258  1.182  .8814
    OQSO for xr_bxor.dat     using bits 15 to 19        141988   .267  .6051
    OQSO for xr_bxor.dat     using bits 14 to 18        141394 -1.747  .0403
    OQSO for xr_bxor.dat     using bits 13 to 17        142004   .321  .6259
    OQSO for xr_bxor.dat     using bits 12 to 16        141451 -1.554  .0601
    OQSO for xr_bxor.dat     using bits 11 to 15        142207  1.009  .8435
    OQSO for xr_bxor.dat     using bits 10 to 14        142545  2.155  .9844
    OQSO for xr_bxor.dat     using bits  9 to 13        142095   .629  .7355
    OQSO for xr_bxor.dat     using bits  8 to 12        142663  2.555  .9947
    OQSO for xr_bxor.dat     using bits  7 to 11        141743  -.564  .2864
    OQSO for xr_bxor.dat     using bits  6 to 10        141820  -.303  .3810
    OQSO for xr_bxor.dat     using bits  5 to  9        141740  -.574  .2830
    OQSO for xr_bxor.dat     using bits  4 to  8        141765  -.489  .3123
    OQSO for xr_bxor.dat     using bits  3 to  7        141820  -.303  .3810
    OQSO for xr_bxor.dat     using bits  2 to  6        142188   .945  .8276
    OQSO for xr_bxor.dat     using bits  1 to  5        141908  -.005  .4982
     DNA for xr_bxor.dat     using bits 31 to 32        141324 -1.727  .0421
     DNA for xr_bxor.dat     using bits 30 to 31        142364  1.341  .9101
     DNA for xr_bxor.dat     using bits 29 to 30        142142   .686  .7538
     DNA for xr_bxor.dat     using bits 28 to 29        141912   .008  .5031
     DNA for xr_bxor.dat     using bits 27 to 28        142222   .922  .8218
     DNA for xr_bxor.dat     using bits 26 to 27        141916   .020  .5079
     DNA for xr_bxor.dat     using bits 25 to 26        142061   .447  .6727
     DNA for xr_bxor.dat     using bits 24 to 25        141686  -.659  .2550
     DNA for xr_bxor.dat     using bits 23 to 24        141933   .070  .5278
     DNA for xr_bxor.dat     using bits 22 to 23        142002   .273  .6077
     DNA for xr_bxor.dat     using bits 21 to 22        141603  -.904  .1831
     DNA for xr_bxor.dat     using bits 20 to 21        142599  2.034  .9790
     DNA for xr_bxor.dat     using bits 19 to 20        141839  -.207  .4178
     DNA for xr_bxor.dat     using bits 18 to 19        142369  1.356  .9124
     DNA for xr_bxor.dat     using bits 17 to 18        141984   .220  .5872
     DNA for xr_bxor.dat     using bits 16 to 17        141600  -.912  .1808
     DNA for xr_bxor.dat     using bits 15 to 16        142031   .359  .6402
     DNA for xr_bxor.dat     using bits 14 to 15        141693  -.638  .2617
     DNA for xr_bxor.dat     using bits 13 to 14        142206   .875  .8093
     DNA for xr_bxor.dat     using bits 12 to 13        142647  2.176  .9852
     DNA for xr_bxor.dat     using bits 11 to 12        142036   .374  .6457
     DNA for xr_bxor.dat     using bits 10 to 11        142122   .627  .7348
     DNA for xr_bxor.dat     using bits  9 to 10        141301 -1.794  .0364
     DNA for xr_bxor.dat     using bits  8 to  9        142058   .439  .6695
     DNA for xr_bxor.dat     using bits  7 to  8        142326  1.229  .8905
     DNA for xr_bxor.dat     using bits  6 to  7        141458 -1.331  .0915
     DNA for xr_bxor.dat     using bits  5 to  6        141235 -1.989  .0233
     DNA for xr_bxor.dat     using bits  4 to  5        142049   .412  .6598
     DNA for xr_bxor.dat     using bits  3 to  4        141549 -1.063  .1439
     DNA for xr_bxor.dat     using bits  2 to  3        141938   .085  .5337
     DNA for xr_bxor.dat     using bits  1 to  2        141817  -.272  .3927
--------------------------------------------------------------------------------
   Test results for xr_bxor.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_bxor.dat      2529.92       .423      .663883
 byte stream for xr_bxor.dat      2618.58      1.677      .953223
--------------------------------------------------------------------------------
 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  2523.71       .335      .631295
           bits  2 to  9  2542.75       .605      .727258
           bits  3 to 10  2536.08       .510      .695045
           bits  4 to 11  2432.60      -.953      .170261
           bits  5 to 12  2516.84       .238      .594124
           bits  6 to 13  2495.69      -.061      .475695
           bits  7 to 14  2569.84       .988      .838331
           bits  8 to 15  2617.13      1.656      .951181
           bits  9 to 16  2456.62      -.614      .269757
           bits 10 to 17  2400.16     -1.412      .078989
           bits 11 to 18  2425.07     -1.060      .144647
           bits 12 to 19  2476.75      -.329      .371144
           bits 13 to 20  2630.82      1.850      .967847
           bits 14 to 21  2578.89      1.116      .867728
           bits 15 to 22  2416.33     -1.183      .118355
           bits 16 to 23  2561.03       .863      .805940
           bits 17 to 24  2391.51     -1.534      .062475
           bits 18 to 25  2605.61      1.494      .932358
           bits 19 to 26  2528.35       .401      .655748
           bits 20 to 27  2383.02     -1.654      .049034
           bits 21 to 28  2516.08       .227      .589942
           bits 22 to 29  2417.54     -1.166      .121781
           bits 23 to 30  2592.07      1.302      .903554
           bits 24 to 31  2453.36      -.660      .254764
           bits 25 to 32  2635.47      1.916      .972304
--------------------------------------------------------------------------------
           CDPARK: result of ten tests on file xr_bxor.dat    
            Of 12,000 tries, the average no. of successes
                 should be 3523 with sigma=21.9
            Successes: 3529    z-score:   .274 p-value: .607947
            Successes: 3526    z-score:   .137 p-value: .554479
            Successes: 3492    z-score: -1.416 p-value: .078457
            Successes: 3550    z-score:  1.233 p-value: .891189
            Successes: 3496    z-score: -1.233 p-value: .108811
            Successes: 3566    z-score:  1.963 p-value: .975204
            Successes: 3529    z-score:   .274 p-value: .607947
            Successes: 3508    z-score:  -.685 p-value: .246694
            Successes: 3529    z-score:   .274 p-value: .607947
            Successes: 3501    z-score: -1.005 p-value: .157553
 
           square size   avg. no.  parked   sample sigma
             100.            3522.600       22.566
            KSTEST for the above 10: p=  .157532
--------------------------------------------------------------------------------
               This is the MINIMUM DISTANCE test
              for random integers in the file xr_bxor.dat    
     Sample no.    d^2     avg     equiv uni            
           5     .0448   1.3240     .043999
          10     .8065    .8911     .555372
          15     .1948    .7542     .177827
          20    2.4170   1.0804     .911892
          25     .5120   1.1587     .402268
          30     .7991   1.0603     .552060
          35    2.3155   1.0719     .902427
          40     .7358   1.0535     .522644
          45    2.1190   1.0455     .881120
          50    1.5444   1.0444     .788201
          55     .1580   1.0105     .146797
          60    1.1682   1.0082     .690903
          65    2.0638    .9812     .874342
          70     .6277    .9716     .467846
          75     .0779    .9371     .075271
          80     .7854    .9194     .545869
          85     .1456    .9125     .136113
          90     .5278    .9748     .411650
          95    2.1958    .9640     .889951
         100     .2532   1.0119     .224677
     MINIMUM DISTANCE TEST for xr_bxor.dat    
          Result of KS test on 20 transformed mindist^2's:
                                  p-value= .189307
--------------------------------------------------------------------------------
               The 3DSPHERES test for file xr_bxor.dat    
 sample no:  1     r^3=   1.545     p-value= .05018
 sample no:  2     r^3=  76.820     p-value= .92275
 sample no:  3     r^3=  77.859     p-value= .92538
 sample no:  4     r^3=  36.048     p-value= .69929
 sample no:  5     r^3=  37.390     p-value= .71244
 sample no:  6     r^3=  48.099     p-value= .79877
 sample no:  7     r^3=  62.890     p-value= .87709
 sample no:  8     r^3=   5.862     p-value= .17750
 sample no:  9     r^3=  29.035     p-value= .62010
 sample no: 10     r^3=  20.969     p-value= .50291
 sample no: 11     r^3=  31.841     p-value= .65402
 sample no: 12     r^3=   8.207     p-value= .23933
 sample no: 13     r^3=  25.675     p-value= .57507
 sample no: 14     r^3=  25.204     p-value= .56835
 sample no: 15     r^3=  25.915     p-value= .57846
 sample no: 16     r^3=  29.633     p-value= .62759
 sample no: 17     r^3=   3.177     p-value= .10049
 sample no: 18     r^3=  71.744     p-value= .90850
 sample no: 19     r^3=   8.839     p-value= .25519
 sample no: 20     r^3=  18.026     p-value= .45166
       3DSPHERES test for file xr_bxor.dat          p-value= .523347
--------------------------------------------------------------------------------
            RESULTS OF SQUEEZE TEST FOR xr_bxor.dat    
         Table of standardized frequency counts
     ( (obs-exp)/sqrt(exp) )^2
        for j taking values <=6,7,8,...,47,>=48:
    -1.5     3.0      .1     -.3     -.5    -2.6
    -2.0      .8     -.5      .4      .5     -.3
     -.7      .6     -.9     -.9     1.1      .0
      .2     1.8     -.3    -1.8     1.0     -.3
      .2     -.4      .3     1.9      .3      .4
     -.9    -1.3     -.9      .5      .5     1.5
      .3      .5    -1.6     -.1      .1     1.0
    -1.1
           Chi-square with 42 degrees of freedom: 50.512
              z-score=   .929  p-value= .827651
______________________________________________________________
--------------------------------------------------------------------------------
                Test no.  1      p-value  .983329
                Test no.  2      p-value  .828519
                Test no.  3      p-value  .431121
                Test no.  4      p-value  .314644
                Test no.  5      p-value  .203122
                Test no.  6      p-value  .215935
                Test no.  7      p-value  .528025
                Test no.  8      p-value  .796855
                Test no.  9      p-value  .833213
                Test no. 10      p-value  .485566
   Results of the OSUM test for xr_bxor.dat    
        KSTEST on the above 10 p-values:  .308012
--------------------------------------------------------------------------------
           The RUNS test for file xr_bxor.dat    
     Up and down runs in a sample of 10000
_________________________________________________ 
                 Run test for xr_bxor.dat    :
       runs up; ks test for 10 p's: .147563
     runs down; ks test for 10 p's: .641717
                 Run test for xr_bxor.dat    :
       runs up; ks test for 10 p's: .544256
     runs down; ks test for 10 p's: .156385
--------------------------------------------------------------------------------
                Results of craps test for xr_bxor.dat    
  No. of wins:  Observed Expected
                                98500    98585.86
 Chisq=  18.69 for 20 degrees of freedom, p=  .45815
               Throws Observed Expected  Chisq     Sum
            SUMMARY  FOR xr_bxor.dat    
                p-value for no. of wins: .350484
                p-value for throws/game: .458152
  Test completed.  File xr_bxor.dat    
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
