 BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA=  2.0000
           xr_raw.dat      using bits  1 to 24 p-value=  .903886
           xr_raw.dat      using bits  2 to 25 p-value=  .027592
           xr_raw.dat      using bits  3 to 26 p-value=  .732654
           xr_raw.dat      using bits  4 to 27 p-value=  .296705
           xr_raw.dat      using bits  5 to 28 p-value=  .296008
           xr_raw.dat      using bits  6 to 29 p-value=  .879950
           xr_raw.dat      using bits  7 to 30 p-value=  .154706
           xr_raw.dat      using bits  8 to 31 p-value=  .521048
           xr_raw.dat      using bits  9 to 32 p-value=  .459267
   The 9 p-values were
        .903886   .027592   .732654   .296705   .296008
        .879950   .154706   .521048   .459267
  A KSTEST for the 9 p-values yields  .019169
--------------------------------------------------------------------------------
           OPERM5 test for file xr_raw.dat     
 chisquare for 99 degrees of freedom=106.429; p-value= .713162
           OPERM5 test for file xr_raw.dat     
 chisquare for 99 degrees of freedom=102.058; p-value= .603519
--------------------------------------------------------------------------------
    Binary rank test for xr_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       209     211.4   .027655     .028
        29      4984    5134.0  4.383138    4.411
        30     23203   23103.0   .432438    4.843
        31     11604   11551.5   .238383    5.082
  chisquare= 5.082 for 3 d. of f.; p-value= .846173
    Binary rank test for xr_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       188     211.4  2.593929    2.594
        30      5143    5134.0   .015741    2.610
        31     23079   23103.0   .025029    2.635
        32     11590   11551.5   .128154    2.763
  chisquare= 2.763 for 3 d. of f.; p-value= .618587
--------------------------------------------------------------------------------
 b-rank test for bits  1 to  8 p=1-exp(-SUM/2)= .82505
 b-rank test for bits  2 to  9 p=1-exp(-SUM/2)= .28641
 b-rank test for bits  3 to 10 p=1-exp(-SUM/2)= .69316
 b-rank test for bits  4 to 11 p=1-exp(-SUM/2)= .51248
 b-rank test for bits  5 to 12 p=1-exp(-SUM/2)= .53979
 b-rank test for bits  6 to 13 p=1-exp(-SUM/2)= .88400
 b-rank test for bits  7 to 14 p=1-exp(-SUM/2)= .07101
 b-rank test for bits  8 to 15 p=1-exp(-SUM/2)= .30180
 b-rank test for bits  9 to 16 p=1-exp(-SUM/2)= .98117
 b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .89743
 b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .98080
 b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .30916
 b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .59385
 b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .68864
 b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .08655
 b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .65655
 b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .88703
 b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .11634
 b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .42558
 b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .36735
 b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .68377
 b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .37721
 b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .06020
 b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .85567
 b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .75988
   TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices
 These should be 25 uniform [0,1] random variables:
     .825047     .286408     .693158     .512480     .539789
     .883999     .071009     .301800     .981167     .897430
     .980799     .309162     .593846     .688643     .086545
     .656549     .887026     .116337     .425582     .367348
     .683774     .377208     .060205     .855666     .759882
   brank test summary for xr_raw.dat     
       The KS test for those 25 supposed UNI's yields
                    KS p-value= .402943
--------------------------------------------------------------------------------
  No. missing words should average  141909. with sigma=428.
 tst no  1:  142289 missing words,     .89 sigmas from mean, p-value= .81248
 tst no  2:  142104 missing words,     .45 sigmas from mean, p-value= .67539
 tst no  3:  141018 missing words,   -2.08 sigmas from mean, p-value= .01865
 tst no  4:  141807 missing words,    -.24 sigmas from mean, p-value= .40552
 tst no  5:  142358 missing words,    1.05 sigmas from mean, p-value= .85275
 tst no  6:  142718 missing words,    1.89 sigmas from mean, p-value= .97058
 tst no  7:  141614 missing words,    -.69 sigmas from mean, p-value= .24509
 tst no  8:  142751 missing words,    1.97 sigmas from mean, p-value= .97538
 tst no  9:  141933 missing words,     .06 sigmas from mean, p-value= .52205
 tst no 10:  141477 missing words,   -1.01 sigmas from mean, p-value= .15622
 tst no 11:  141431 missing words,   -1.12 sigmas from mean, p-value= .13187
 tst no 12:  141568 missing words,    -.80 sigmas from mean, p-value= .21258
 tst no 13:  141923 missing words,     .03 sigmas from mean, p-value= .51274
 tst no 14:  141807 missing words,    -.24 sigmas from mean, p-value= .40552
 tst no 15:  141183 missing words,   -1.70 sigmas from mean, p-value= .04485
 tst no 16:  142931 missing words,    2.39 sigmas from mean, p-value= .99151
 tst no 17:  142083 missing words,     .41 sigmas from mean, p-value= .65755
 tst no 18:  142435 missing words,    1.23 sigmas from mean, p-value= .89032
 tst no 19:  141148 missing words,   -1.78 sigmas from mean, p-value= .03764
 tst no 20:  141188 missing words,   -1.69 sigmas from mean, p-value= .04596
--------------------------------------------------------------------------------
    OPSO for xr_raw.dat      using bits 23 to 32        142295  1.330  .9082
    OPSO for xr_raw.dat      using bits 22 to 31        142000   .313  .6227
    OPSO for xr_raw.dat      using bits 21 to 30        142245  1.157  .8765
    OPSO for xr_raw.dat      using bits 20 to 29        141663  -.849  .1978
    OPSO for xr_raw.dat      using bits 19 to 28        141788  -.418  .3378
    OPSO for xr_raw.dat      using bits 18 to 27        142236  1.126  .8700
    OPSO for xr_raw.dat      using bits 17 to 26        141655  -.877  .1902
    OPSO for xr_raw.dat      using bits 16 to 25        142304  1.361  .9132
    OPSO for xr_raw.dat      using bits 15 to 24        142099   .654  .7435
    OPSO for xr_raw.dat      using bits 14 to 23        142542  2.182  .9854
    OPSO for xr_raw.dat      using bits 13 to 22        141672  -.818  .2066
    OPSO for xr_raw.dat      using bits 12 to 21        142108   .685  .7534
    OPSO for xr_raw.dat      using bits 11 to 20        141720  -.653  .2569
    OPSO for xr_raw.dat      using bits 10 to 19        141825  -.291  .3856
    OPSO for xr_raw.dat      using bits  9 to 18        141969   .206  .5815
    OPSO for xr_raw.dat      using bits  8 to 17        142021   .385  .6499
    OPSO for xr_raw.dat      using bits  7 to 16        142152   .837  .7986
    OPSO for xr_raw.dat      using bits  6 to 15        142010   .347  .6358
    OPSO for xr_raw.dat      using bits  5 to 14        142134   .775  .7808
    OPSO for xr_raw.dat      using bits  4 to 13        142238  1.133  .8715
    OPSO for xr_raw.dat      using bits  3 to 12        141967   .199  .5788
    OPSO for xr_raw.dat      using bits  2 to 11        142401  1.695  .9550
    OPSO for xr_raw.dat      using bits  1 to 10        142211  1.040  .8509
    OQSO for xr_raw.dat      using bits 28 to 32        141989   .270  .6064
    OQSO for xr_raw.dat      using bits 27 to 31        142034   .423  .6637
    OQSO for xr_raw.dat      using bits 26 to 30        141900  -.032  .4874
    OQSO for xr_raw.dat      using bits 25 to 29        141585 -1.099  .1358
    OQSO for xr_raw.dat      using bits 24 to 28        142182   .924  .8223
    OQSO for xr_raw.dat      using bits 23 to 27        142337  1.450  .9264
    OQSO for xr_raw.dat      using bits 22 to 26        141498 -1.394  .0816
    OQSO for xr_raw.dat      using bits 21 to 25        142207  1.009  .8435
    OQSO for xr_raw.dat      using bits 20 to 24        142042   .450  .6735
    OQSO for xr_raw.dat      using bits 19 to 23        142128   .741  .7707
    OQSO for xr_raw.dat      using bits 18 to 22        141613 -1.005  .1576
    OQSO for xr_raw.dat      using bits 17 to 21        142100   .646  .7410
    OQSO for xr_raw.dat      using bits 16 to 20        142086   .599  .7254
    OQSO for xr_raw.dat      using bits 15 to 19        142256  1.175  .8800
    OQSO for xr_raw.dat      using bits 14 to 18        142373  1.572  .9420
    OQSO for xr_raw.dat      using bits 13 to 17        141828  -.276  .3914
    OQSO for xr_raw.dat      using bits 12 to 16        142584  2.287  .9889
    OQSO for xr_raw.dat      using bits 11 to 15        141470 -1.489  .0682
    OQSO for xr_raw.dat      using bits 10 to 14        142221  1.057  .8546
    OQSO for xr_raw.dat      using bits  9 to 13        141514 -1.340  .0901
    OQSO for xr_raw.dat      using bits  8 to 12        141304 -2.052  .0201
    OQSO for xr_raw.dat      using bits  7 to 11        142112   .687  .7540
    OQSO for xr_raw.dat      using bits  6 to 10        141967   .195  .5775
    OQSO for xr_raw.dat      using bits  5 to  9        142014   .355  .6386
    OQSO for xr_raw.dat      using bits  4 to  8        142291  1.294  .9021
    OQSO for xr_raw.dat      using bits  3 to  7        141741  -.571  .2841
    OQSO for xr_raw.dat      using bits  2 to  6        141624  -.967  .1667
    OQSO for xr_raw.dat      using bits  1 to  5        141857  -.177  .4296
     DNA for xr_raw.dat      using bits 31 to 32        141748  -.476  .3171
     DNA for xr_raw.dat      using bits 30 to 31        141888  -.063  .4749
     DNA for xr_raw.dat      using bits 29 to 30        142096   .551  .7091
     DNA for xr_raw.dat      using bits 28 to 29        141572  -.995  .1599
     DNA for xr_raw.dat      using bits 27 to 28        141939   .088  .5349
     DNA for xr_raw.dat      using bits 26 to 27        142016   .315  .6235
     DNA for xr_raw.dat      using bits 25 to 26        141804  -.311  .3780
     DNA for xr_raw.dat      using bits 24 to 25        142060   .444  .6716
     DNA for xr_raw.dat      using bits 23 to 24        141991   .241  .5952
     DNA for xr_raw.dat      using bits 22 to 23        141435 -1.399  .0809
     DNA for xr_raw.dat      using bits 21 to 22        142345  1.285  .9006
     DNA for xr_raw.dat      using bits 20 to 21        142321  1.214  .8877
     DNA for xr_raw.dat      using bits 19 to 20        142039   .383  .6490
     DNA for xr_raw.dat      using bits 18 to 19        141501 -1.205  .1142
     DNA for xr_raw.dat      using bits 17 to 18        142694  2.315  .9897
     DNA for xr_raw.dat      using bits 16 to 17        142193   .837  .7986
     DNA for xr_raw.dat      using bits 15 to 16        141935   .076  .5302
     DNA for xr_raw.dat      using bits 14 to 15        142330  1.241  .8927
     DNA for xr_raw.dat      using bits 13 to 14        141969   .176  .5699
     DNA for xr_raw.dat      using bits 12 to 13        141939   .088  .5349
     DNA for xr_raw.dat      using bits 11 to 12        141571  -.998  .1591
     DNA for xr_raw.dat      using bits 10 to 11        141765  -.426  .3351
     DNA for xr_raw.dat      using bits  9 to 10        142194   .840  .7995
     DNA for xr_raw.dat      using bits  8 to  9        142549  1.887  .9704
     DNA for xr_raw.dat      using bits  7 to  8        142449  1.592  .9443
     DNA for xr_raw.dat      using bits  6 to  7        142305  1.167  .8784
     DNA for xr_raw.dat      using bits  5 to  6        142059   .442  .6706
     DNA for xr_raw.dat      using bits  4 to  5        141795  -.337  .3680
     DNA for xr_raw.dat      using bits  3 to  4        142183   .807  .7903
     DNA for xr_raw.dat      using bits  2 to  3        141639  -.797  .2126
     DNA for xr_raw.dat      using bits  1 to  2        142546  1.878  .9698
--------------------------------------------------------------------------------
   Test results for xr_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 xr_raw.dat       2688.13      2.661      .996099
 byte stream for xr_raw.dat       2723.04      3.154      .999195
--------------------------------------------------------------------------------
 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  2494.35      -.080      .468180
           bits  2 to  9  2439.58      -.855      .196412
           bits  3 to 10  2489.45      -.149      .440683
           bits  4 to 11  2489.02      -.155      .438286
           bits  5 to 12  2520.09       .284      .611826
           bits  6 to 13  2543.29       .612      .729796
           bits  7 to 14  2624.36      1.759      .960684
           bits  8 to 15  2459.72      -.570      .284460
           bits  9 to 16  2572.71      1.028      .848085
           bits 10 to 17  2477.51      -.318      .375197
           bits 11 to 18  2614.79      1.623      .947740
           bits 12 to 19  2524.10       .341      .633403
           bits 13 to 20  2364.27     -1.919      .027461
           bits 14 to 21  2412.70     -1.235      .108495
           bits 15 to 22  2494.88      -.072      .471139
           bits 16 to 23  2561.25       .866      .806818
           bits 17 to 24  2554.61       .772      .780049
           bits 18 to 25  2680.65      2.555      .994686
           bits 19 to 26  2738.02      3.366      .999619
           bits 20 to 27  2526.73       .378      .647285
           bits 21 to 28  2574.51      1.054      .853994
           bits 22 to 29  2640.13      1.982      .976246
           bits 23 to 30  2540.42       .572      .716197
           bits 24 to 31  2381.91     -1.670      .047451
           bits 25 to 32  2548.31       .683      .752747
--------------------------------------------------------------------------------
           CDPARK: result of ten tests on file xr_raw.dat     
            Of 12,000 tries, the average no. of successes
                 should be 3523 with sigma=21.9
            Successes: 3506    z-score:  -.776 p-value: .218799
            Successes: 3481    z-score: -1.918 p-value: .027568
            Successes: 3500    z-score: -1.050 p-value: .146807
            Successes: 3539    z-score:   .731 p-value: .767486
            Successes: 3537    z-score:   .639 p-value: .738676
            Successes: 3580    z-score:  2.603 p-value: .995376
            Successes: 3541    z-score:   .822 p-value: .794438
            Successes: 3537    z-score:   .639 p-value: .738676
            Successes: 3516    z-score:  -.320 p-value: .374623
            Successes: 3512    z-score:  -.502 p-value: .307734
 
           square size   avg. no.  parked   sample sigma
             100.            3524.900       26.336
            KSTEST for the above 10: p=  .257045
--------------------------------------------------------------------------------
               This is the MINIMUM DISTANCE test
              for random integers in the file xr_raw.dat     
     Sample no.    d^2     avg     equiv uni            
           5    7.9388   2.2713     .999657
          10    1.2428   1.6177     .713224
          15     .8937   1.3020     .592702
          20     .3206   1.2962     .275478
          25     .9343   1.2650     .608992
          30    1.6489   1.2883     .809331
          35     .2780   1.1774     .243768
          40     .1652   1.0791     .152973
          45     .0516   1.0203     .050509
          50     .0830   1.0971     .080048
          55    1.0701   1.2003     .658850
          60     .1392   1.1333     .130572
          65    1.2544   1.1007     .716536
          70    2.2289   1.0849     .893552
          75     .3535   1.0658     .299021
          80    4.9854   1.0939     .993332
          85     .1569   1.0716     .145893
          90    1.2056   1.0796     .702290
          95     .8434   1.0714     .571560
         100     .1787   1.0474     .164363
     MINIMUM DISTANCE TEST for xr_raw.dat     
          Result of KS test on 20 transformed mindist^2's:
                                  p-value= .387942
--------------------------------------------------------------------------------
               The 3DSPHERES test for file xr_raw.dat     
 sample no:  1     r^3=  52.904     p-value= .82855
 sample no:  2     r^3=  35.432     p-value= .69305
 sample no:  3     r^3=  19.772     p-value= .48267
 sample no:  4     r^3=  30.207     p-value= .63465
 sample no:  5     r^3=  46.632     p-value= .78869
 sample no:  6     r^3=   9.804     p-value= .27877
 sample no:  7     r^3=  18.708     p-value= .46399
 sample no:  8     r^3=  55.854     p-value= .84461
 sample no:  9     r^3=  96.643     p-value= .96010
 sample no: 10     r^3=  15.271     p-value= .39892
 sample no: 11     r^3=   2.454     p-value= .07854
 sample no: 12     r^3=  53.256     p-value= .83055
 sample no: 13     r^3=  96.933     p-value= .96049
 sample no: 14     r^3=  31.434     p-value= .64929
 sample no: 15     r^3=    .922     p-value= .03026
 sample no: 16     r^3=  41.062     p-value= .74557
 sample no: 17     r^3=  17.132     p-value= .43507
 sample no: 18     r^3=  44.050     p-value= .76969
 sample no: 19     r^3=  34.734     p-value= .68583
 sample no: 20     r^3=  34.641     p-value= .68485
       3DSPHERES test for file xr_raw.dat           p-value= .897021
--------------------------------------------------------------------------------
            RESULTS OF SQUEEZE TEST FOR xr_raw.dat     
         Table of standardized frequency counts
     ( (obs-exp)/sqrt(exp) )^2
        for j taking values <=6,7,8,...,47,>=48:
     2.0      .5      .3    -2.3      .4     1.2
     1.0      .1     -.2     -.4     1.5      .2
     1.4     1.3      .3     -.2    -2.5    -2.4
     -.2     1.4     -.4    -1.8      .8      .7
     2.0     -.2      .3     -.4      .3     1.5
    -2.3    -1.7     1.2     -.5     -.4     -.8
     1.2      .5     1.7    -1.3     -.6     3.0
     -.1
           Chi-square with 42 degrees of freedom: 69.933
              z-score=  3.048  p-value= .995597
______________________________________________________________
--------------------------------------------------------------------------------
                Test no.  1      p-value  .388515
                Test no.  2      p-value  .343778
                Test no.  3      p-value  .854247
                Test no.  4      p-value  .663057
                Test no.  5      p-value  .625515
                Test no.  6      p-value  .430586
                Test no.  7      p-value  .369007
                Test no.  8      p-value  .245655
                Test no.  9      p-value  .233127
                Test no. 10      p-value  .274821
   Results of the OSUM test for xr_raw.dat     
        KSTEST on the above 10 p-values:  .673232
--------------------------------------------------------------------------------
           The RUNS test for file xr_raw.dat     
     Up and down runs in a sample of 10000
_________________________________________________ 
                 Run test for xr_raw.dat     :
       runs up; ks test for 10 p's: .085118
     runs down; ks test for 10 p's: .830314
                 Run test for xr_raw.dat     :
       runs up; ks test for 10 p's: .868104
     runs down; ks test for 10 p's: .277201
--------------------------------------------------------------------------------
                Results of craps test for xr_raw.dat     
  No. of wins:  Observed Expected
                                98775    98585.86
 Chisq=  23.32 for 20 degrees of freedom, p=  .72663
               Throws Observed Expected  Chisq     Sum
            SUMMARY  FOR xr_raw.dat     
                p-value for no. of wins: .801209
                p-value for throws/game: .726632
  Test completed.  File xr_raw.dat     
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
