 BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA=  2.0000
           xr_vn.dat       using bits  1 to 24 p-value=  .168333
           xr_vn.dat       using bits  2 to 25 p-value=  .583300
           xr_vn.dat       using bits  3 to 26 p-value=  .815416
           xr_vn.dat       using bits  4 to 27 p-value=  .246928
           xr_vn.dat       using bits  5 to 28 p-value=  .365481
           xr_vn.dat       using bits  6 to 29 p-value=  .967142
           xr_vn.dat       using bits  7 to 30 p-value=  .299001
           xr_vn.dat       using bits  8 to 31 p-value=  .793214
           xr_vn.dat       using bits  9 to 32 p-value=  .083027
   The 9 p-values were
        .168333   .583300   .815416   .246928   .365481
        .967142   .299001   .793214   .083027
  A KSTEST for the 9 p-values yields  .034297
--------------------------------------------------------------------------------
           OPERM5 test for file xr_vn.dat      
 chisquare for 99 degrees of freedom= 99.523; p-value= .533667
           OPERM5 test for file xr_vn.dat      
 chisquare for 99 degrees of freedom= 84.560; p-value= .150754
--------------------------------------------------------------------------------
    Binary rank test for xr_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       189     211.4  2.377126    2.377
        29      5180    5134.0   .411970    2.789
        30     23084   23103.0   .015703    2.805
        31     11547   11551.5   .001772    2.807
  chisquare= 2.807 for 3 d. of f.; p-value= .624520
    Binary rank test for xr_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       211     211.4   .000826     .001
        30      4999    5134.0  3.550396    3.551
        31     23172   23103.0   .205797    3.757
        32     11618   11551.5   .382547    4.140
  chisquare= 4.140 for 3 d. of f.; p-value= .774164
--------------------------------------------------------------------------------
 b-rank test for bits  1 to  8 p=1-exp(-SUM/2)= .31472
 b-rank test for bits  2 to  9 p=1-exp(-SUM/2)= .71966
 b-rank test for bits  3 to 10 p=1-exp(-SUM/2)= .50584
 b-rank test for bits  4 to 11 p=1-exp(-SUM/2)= .29278
 b-rank test for bits  5 to 12 p=1-exp(-SUM/2)= .70467
 b-rank test for bits  6 to 13 p=1-exp(-SUM/2)= .12382
 b-rank test for bits  7 to 14 p=1-exp(-SUM/2)= .02115
 b-rank test for bits  8 to 15 p=1-exp(-SUM/2)= .12102
 b-rank test for bits  9 to 16 p=1-exp(-SUM/2)= .24737
 b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .42578
 b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .69094
 b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .24073
 b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .19376
 b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .91574
 b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .90746
 b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .05075
 b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .72043
 b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .72946
 b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .89399
 b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .69067
 b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .48087
 b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .24169
 b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .11894
 b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .27676
 b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .48466
   TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices
 These should be 25 uniform [0,1] random variables:
     .314717     .719664     .505839     .292783     .704670
     .123821     .021151     .121020     .247370     .425784
     .690942     .240732     .193759     .915738     .907457
     .050749     .720428     .729460     .893990     .690669
     .480868     .241691     .118935     .276757     .484659
   brank test summary for xr_vn.dat      
       The KS test for those 25 supposed UNI's yields
                    KS p-value= .482228
--------------------------------------------------------------------------------
  No. missing words should average  141909. with sigma=428.
 tst no  1:  142853 missing words,    2.20 sigmas from mean, p-value= .98627
 tst no  2:  141136 missing words,   -1.81 sigmas from mean, p-value= .03539
 tst no  3:  142086 missing words,     .41 sigmas from mean, p-value= .66012
 tst no  4:  141798 missing words,    -.26 sigmas from mean, p-value= .39739
 tst no  5:  142160 missing words,     .59 sigmas from mean, p-value= .72096
 tst no  6:  142048 missing words,     .32 sigmas from mean, p-value= .62703
 tst no  7:  141689 missing words,    -.51 sigmas from mean, p-value= .30335
 tst no  8:  142602 missing words,    1.62 sigmas from mean, p-value= .94721
 tst no  9:  142785 missing words,    2.05 sigmas from mean, p-value= .97962
 tst no 10:  141910 missing words,     .00 sigmas from mean, p-value= .50063
 tst no 11:  141340 missing words,   -1.33 sigmas from mean, p-value= .09173
 tst no 12:  141615 missing words,    -.69 sigmas from mean, p-value= .24583
 tst no 13:  141814 missing words,    -.22 sigmas from mean, p-value= .41187
 tst no 14:  141297 missing words,   -1.43 sigmas from mean, p-value= .07626
 tst no 15:  142052 missing words,     .33 sigmas from mean, p-value= .63056
 tst no 16:  141871 missing words,    -.09 sigmas from mean, p-value= .46432
 tst no 17:  142555 missing words,    1.51 sigmas from mean, p-value= .93430
 tst no 18:  141896 missing words,    -.03 sigmas from mean, p-value= .48758
 tst no 19:  142341 missing words,    1.01 sigmas from mean, p-value= .84341
 tst no 20:  141985 missing words,     .18 sigmas from mean, p-value= .57017
--------------------------------------------------------------------------------
    OPSO for xr_vn.dat       using bits 23 to 32        142531  2.144  .9840
    OPSO for xr_vn.dat       using bits 22 to 31        142203  1.013  .8444
    OPSO for xr_vn.dat       using bits 21 to 30        141309 -2.070  .0192
    OPSO for xr_vn.dat       using bits 20 to 29        142359  1.551  .9395
    OPSO for xr_vn.dat       using bits 19 to 28        142139   .792  .7858
    OPSO for xr_vn.dat       using bits 18 to 27        142188   .961  .8317
    OPSO for xr_vn.dat       using bits 17 to 26        142410  1.726  .9579
    OPSO for xr_vn.dat       using bits 16 to 25        141954   .154  .5612
    OPSO for xr_vn.dat       using bits 15 to 24        142362  1.561  .9407
    OPSO for xr_vn.dat       using bits 14 to 23        142033   .426  .6651
    OPSO for xr_vn.dat       using bits 13 to 22        142330  1.451  .9266
    OPSO for xr_vn.dat       using bits 12 to 21        142317  1.406  .9201
    OPSO for xr_vn.dat       using bits 11 to 20        142088   .616  .7311
    OPSO for xr_vn.dat       using bits 10 to 19        142577  2.302  .9893
    OPSO for xr_vn.dat       using bits  9 to 18        142053   .495  .6898
    OPSO for xr_vn.dat       using bits  8 to 17        141927   .061  .5243
    OPSO for xr_vn.dat       using bits  7 to 16        141911   .006  .5023
    OPSO for xr_vn.dat       using bits  6 to 15        142356  1.540  .9383
    OPSO for xr_vn.dat       using bits  5 to 14        141575 -1.153  .1245
    OPSO for xr_vn.dat       using bits  4 to 13        141900  -.032  .4872
    OPSO for xr_vn.dat       using bits  3 to 12        141798  -.384  .3505
    OPSO for xr_vn.dat       using bits  2 to 11        142464  1.913  .9721
    OPSO for xr_vn.dat       using bits  1 to 10        141465 -1.532  .0627
    OQSO for xr_vn.dat       using bits 28 to 32        141557 -1.194  .1162
    OQSO for xr_vn.dat       using bits 27 to 31        142327  1.416  .9216
    OQSO for xr_vn.dat       using bits 26 to 30        141505 -1.371  .0852
    OQSO for xr_vn.dat       using bits 25 to 29        141749  -.543  .2934
    OQSO for xr_vn.dat       using bits 24 to 28        141398 -1.733  .0415
    OQSO for xr_vn.dat       using bits 23 to 27        141762  -.499  .3087
    OQSO for xr_vn.dat       using bits 22 to 26        141533 -1.276  .1010
    OQSO for xr_vn.dat       using bits 21 to 25        142081   .582  .7197
    OQSO for xr_vn.dat       using bits 20 to 24        141559 -1.188  .1175
    OQSO for xr_vn.dat       using bits 19 to 23        142940  3.494  .9998
    OQSO for xr_vn.dat       using bits 18 to 22        141901  -.028  .4887
    OQSO for xr_vn.dat       using bits 17 to 21        141966   .192  .5762
    OQSO for xr_vn.dat       using bits 16 to 20        142103   .657  .7443
    OQSO for xr_vn.dat       using bits 15 to 19        142336  1.446  .9260
    OQSO for xr_vn.dat       using bits 14 to 18        141879  -.103  .4591
    OQSO for xr_vn.dat       using bits 13 to 17        141853  -.191  .4243
    OQSO for xr_vn.dat       using bits 12 to 16        141835  -.252  .4005
    OQSO for xr_vn.dat       using bits 11 to 15        141949   .134  .5535
    OQSO for xr_vn.dat       using bits 10 to 14        141888  -.072  .4712
    OQSO for xr_vn.dat       using bits  9 to 13        141912   .009  .5036
    OQSO for xr_vn.dat       using bits  8 to 12        142051   .480  .6845
    OQSO for xr_vn.dat       using bits  7 to 11        141377 -1.805  .0356
    OQSO for xr_vn.dat       using bits  6 to 10        141739  -.577  .2818
    OQSO for xr_vn.dat       using bits  5 to  9        141666  -.825  .2047
    OQSO for xr_vn.dat       using bits  4 to  8        142165   .867  .8069
    OQSO for xr_vn.dat       using bits  3 to  7        142244  1.134  .8717
    OQSO for xr_vn.dat       using bits  2 to  6        142078   .572  .7163
    OQSO for xr_vn.dat       using bits  1 to  5        141678  -.784  .2165
     DNA for xr_vn.dat       using bits 31 to 32        142136   .669  .7481
     DNA for xr_vn.dat       using bits 30 to 31        141262 -1.910  .0281
     DNA for xr_vn.dat       using bits 29 to 30        141888  -.063  .4749
     DNA for xr_vn.dat       using bits 28 to 29        141787  -.361  .3591
     DNA for xr_vn.dat       using bits 27 to 28        141678  -.682  .2475
     DNA for xr_vn.dat       using bits 26 to 27        141872  -.110  .4562
     DNA for xr_vn.dat       using bits 25 to 26        141698  -.623  .2665
     DNA for xr_vn.dat       using bits 24 to 25        142376  1.377  .9157
     DNA for xr_vn.dat       using bits 23 to 24        142086   .521  .6989
     DNA for xr_vn.dat       using bits 22 to 23        141841  -.202  .4201
     DNA for xr_vn.dat       using bits 21 to 22        141603  -.904  .1831
     DNA for xr_vn.dat       using bits 20 to 21        141848  -.181  .4282
     DNA for xr_vn.dat       using bits 19 to 20        141298 -1.803  .0357
     DNA for xr_vn.dat       using bits 18 to 19        141532 -1.113  .1328
     DNA for xr_vn.dat       using bits 17 to 18        141657  -.744  .2283
     DNA for xr_vn.dat       using bits 16 to 17        142005   .282  .6111
     DNA for xr_vn.dat       using bits 15 to 16        141288 -1.833  .0334
     DNA for xr_vn.dat       using bits 14 to 15        141828  -.240  .4052
     DNA for xr_vn.dat       using bits 13 to 14        141713  -.579  .2812
     DNA for xr_vn.dat       using bits 12 to 13        141908  -.004  .4984
     DNA for xr_vn.dat       using bits 11 to 12        141979   .206  .5814
     DNA for xr_vn.dat       using bits 10 to 11        141936   .079  .5314
     DNA for xr_vn.dat       using bits  9 to 10        142051   .418  .6620
     DNA for xr_vn.dat       using bits  8 to  9        141680  -.676  .2494
     DNA for xr_vn.dat       using bits  7 to  8        142208   .881  .8109
     DNA for xr_vn.dat       using bits  6 to  7        141127 -2.308  .0105
     DNA for xr_vn.dat       using bits  5 to  6        141820  -.264  .3961
     DNA for xr_vn.dat       using bits  4 to  5        142417  1.498  .9329
     DNA for xr_vn.dat       using bits  3 to  4        141773  -.402  .3438
     DNA for xr_vn.dat       using bits  2 to  3        142301  1.155  .8760
     DNA for xr_vn.dat       using bits  1 to  2        141339 -1.682  .0462
--------------------------------------------------------------------------------
   Test results for xr_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 xr_vn.dat        2421.79     -1.106      .134341
 byte stream for xr_vn.dat        2500.82       .012      .504625
--------------------------------------------------------------------------------
 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  2379.75     -1.701      .044509
           bits  2 to  9  2583.34      1.179      .880722
           bits  3 to 10  2476.16      -.337      .367994
           bits  4 to 11  2586.07      1.217      .888230
           bits  5 to 12  2438.72      -.867      .193054
           bits  6 to 13  2459.62      -.571      .283981
           bits  7 to 14  2501.13       .016      .506371
           bits  8 to 15  2525.54       .361      .641005
           bits  9 to 16  2492.60      -.105      .458316
           bits 10 to 17  2475.09      -.352      .362304
           bits 11 to 18  2452.88      -.666      .252565
           bits 12 to 19  2459.25      -.576      .282200
           bits 13 to 20  2475.04      -.353      .362062
           bits 14 to 21  2429.46      -.998      .159256
           bits 15 to 22  2552.07       .736      .769243
           bits 16 to 23  2433.37      -.942      .173023
           bits 17 to 24  2565.90       .932      .824321
           bits 18 to 25  2480.00      -.283      .388631
           bits 19 to 26  2411.92     -1.246      .106451
           bits 20 to 27  2593.70      1.325      .907437
           bits 21 to 28  2567.61       .956      .830520
           bits 22 to 29  2481.15      -.267      .394901
           bits 23 to 30  2422.59     -1.095      .136813
           bits 24 to 31  2506.96       .098      .539205
           bits 25 to 32  2492.24      -.110      .456296
--------------------------------------------------------------------------------
           CDPARK: result of ten tests on file xr_vn.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: 3545    z-score:  1.005 p-value: .842447
            Successes: 3514    z-score:  -.411 p-value: .340551
            Successes: 3532    z-score:   .411 p-value: .659449
            Successes: 3515    z-score:  -.365 p-value: .357445
            Successes: 3540    z-score:   .776 p-value: .781201
            Successes: 3507    z-score:  -.731 p-value: .232514
            Successes: 3554    z-score:  1.416 p-value: .921543
            Successes: 3516    z-score:  -.320 p-value: .374623
            Successes: 3506    z-score:  -.776 p-value: .218799
 
           square size   avg. no.  parked   sample sigma
             100.            3525.800       15.848
            KSTEST for the above 10: p=  .189783
--------------------------------------------------------------------------------
               This is the MINIMUM DISTANCE test
              for random integers in the file xr_vn.dat      
     Sample no.    d^2     avg     equiv uni            
           5    1.3009   1.0955     .729478
          10    1.4809    .8546     .774254
          15     .4175   1.1770     .342664
          20     .4604   1.0883     .370420
          25     .4537   1.0512     .366168
          30     .4500    .9808     .363786
          35     .6937    .9353     .502026
          40    2.1188   1.0185     .881096
          45     .7220    .9473     .515976
          50     .8464    .9103     .572863
          55     .0894    .9239     .085930
          60     .4349    .9681     .354083
          65    3.5556    .9795     .971941
          70     .9946   1.0292     .631973
          75     .4033   1.0618     .333259
          80     .0066   1.0373     .006628
          85    3.5847   1.0472     .972750
          90     .2684   1.0389     .236413
          95     .3210   1.0386     .275733
         100     .3060   1.0375     .264772
     MINIMUM DISTANCE TEST for xr_vn.dat      
          Result of KS test on 20 transformed mindist^2's:
                                  p-value= .079542
--------------------------------------------------------------------------------
               The 3DSPHERES test for file xr_vn.dat      
 sample no:  1     r^3=  44.871     p-value= .77591
 sample no:  2     r^3=  37.086     p-value= .70951
 sample no:  3     r^3=  52.973     p-value= .82895
 sample no:  4     r^3=   9.762     p-value= .27775
 sample no:  5     r^3=  24.006     p-value= .55077
 sample no:  6     r^3=  14.290     p-value= .37894
 sample no:  7     r^3=  62.816     p-value= .87679
 sample no:  8     r^3=  16.198     p-value= .41722
 sample no:  9     r^3=  34.352     p-value= .68180
 sample no: 10     r^3=  54.294     p-value= .83631
 sample no: 11     r^3=  16.100     p-value= .41531
 sample no: 12     r^3=  22.005     p-value= .51978
 sample no: 13     r^3=  22.733     p-value= .53128
 sample no: 14     r^3=  43.087     p-value= .76218
 sample no: 15     r^3=  25.429     p-value= .57158
 sample no: 16     r^3=   1.650     p-value= .05353
 sample no: 17     r^3=   2.579     p-value= .08237
 sample no: 18     r^3=  56.014     p-value= .84544
 sample no: 19     r^3=  29.611     p-value= .62732
 sample no: 20     r^3=  24.001     p-value= .55069
       3DSPHERES test for file xr_vn.dat            p-value= .744178
--------------------------------------------------------------------------------
            RESULTS OF SQUEEZE TEST FOR xr_vn.dat      
         Table of standardized frequency counts
     ( (obs-exp)/sqrt(exp) )^2
        for j taking values <=6,7,8,...,47,>=48:
    -1.5      .9      .3    -1.6      .0      .6
      .0     1.1     1.1     -.9      .1      .6
     -.6      .2     -.5     -.9     1.8     1.2
    -1.6      .6      .4    -1.0     -.6     1.3
     -.9     -.4     1.5    -1.7     -.7     -.8
      .8     -.5      .6     -.4     -.9    -1.0
     1.0      .5     1.3      .4    -1.3      .0
    -1.1
           Chi-square with 42 degrees of freedom: 38.243
              z-score=  -.410  p-value= .363134
______________________________________________________________
--------------------------------------------------------------------------------
                Test no.  1      p-value  .131385
                Test no.  2      p-value  .086137
                Test no.  3      p-value  .080013
                Test no.  4      p-value  .156586
                Test no.  5      p-value  .852845
                Test no.  6      p-value  .609810
                Test no.  7      p-value  .928889
                Test no.  8      p-value  .825286
                Test no.  9      p-value  .476013
                Test no. 10      p-value  .442009
   Results of the OSUM test for xr_vn.dat      
        KSTEST on the above 10 p-values:  .285550
--------------------------------------------------------------------------------
           The RUNS test for file xr_vn.dat      
     Up and down runs in a sample of 10000
_________________________________________________ 
                 Run test for xr_vn.dat      :
       runs up; ks test for 10 p's: .454435
     runs down; ks test for 10 p's: .583883
                 Run test for xr_vn.dat      :
       runs up; ks test for 10 p's: .833553
     runs down; ks test for 10 p's: .350389
--------------------------------------------------------------------------------
                Results of craps test for xr_vn.dat      
  No. of wins:  Observed Expected
                                98583    98585.86
 Chisq=  28.38 for 20 degrees of freedom, p=  .89929
               Throws Observed Expected  Chisq     Sum
            SUMMARY  FOR xr_vn.dat      
                p-value for no. of wins: .494898
                p-value for throws/game: .899294
  Test completed.  File xr_vn.dat      
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
