BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA=  2.0000
           otphex2.32      using bits  1 to 24 p-value=  .772857
           otphex2.32      using bits  2 to 25 p-value=  .068112
           otphex2.32      using bits  3 to 26 p-value=  .402529
           otphex2.32      using bits  4 to 27 p-value=  .358824
           otphex2.32      using bits  5 to 28 p-value=  .692302
           otphex2.32      using bits  6 to 29 p-value=  .414816
           otphex2.32      using bits  7 to 30 p-value=  .144277
           otphex2.32      using bits  8 to 31 p-value=  .476772
           otphex2.32      using bits  9 to 32 p-value=  .439635
   The 9 p-values were
        .772857   .068112   .402529   .358824   .692302
        .414816   .144277   .476772   .439635
  A KSTEST for the 9 p-values yields  .549068
--------------------------------------------------------------------------------
           OPERM5 test for file otphex2.32     
 chisquare for 99 degrees of freedom= 80.835; p-value= .091481
           OPERM5 test for file otphex2.32     
 chisquare for 99 degrees of freedom=123.804; p-value= .953570
--------------------------------------------------------------------------------
    Binary rank test for otphex2.32     
         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       232     211.4  2.003699    2.004
        29      5164    5134.0   .175182    2.179
        30     22901   23103.0  1.766994    3.946
        31     11703   11551.5  1.986305    5.932
  chisquare= 5.932 for 3 d. of f.; p-value= .892477
    Binary rank test for otphex2.32     
         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       203     211.4   .335179     .335
        30      5021    5134.0  2.487591    2.823
        31     23004   23103.0   .424632    3.247
        32     11772   11551.5  4.208058    7.455
  chisquare= 7.455 for 3 d. of f.; p-value= .944448
--------------------------------------------------------------------------------
 b-rank test for bits  1 to  8 p=1-exp(-SUM/2)= .30297
 b-rank test for bits  2 to  9 p=1-exp(-SUM/2)= .72126
 b-rank test for bits  3 to 10 p=1-exp(-SUM/2)= .81216
 b-rank test for bits  4 to 11 p=1-exp(-SUM/2)= .28802
 b-rank test for bits  5 to 12 p=1-exp(-SUM/2)= .11630
 b-rank test for bits  6 to 13 p=1-exp(-SUM/2)= .66380
 b-rank test for bits  7 to 14 p=1-exp(-SUM/2)= .79372
 b-rank test for bits  8 to 15 p=1-exp(-SUM/2)= .96443
 b-rank test for bits  9 to 16 p=1-exp(-SUM/2)= .76406
 b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .08180
 b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .27089
 b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .27419
 b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .86344
 b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .16862
 b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .40339
 b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .07869
 b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .22089
 b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .81904
 b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .72588
 b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .05988
 b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .31373
 b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .07056
 b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .93915
 b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .50620
 b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .75172
   TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices
 These should be 25 uniform [0,1] random variables:
     .302969     .721255     .812157     .288015     .116299
     .663804     .793718     .964427     .764064     .081796
     .270890     .274195     .863439     .168619     .403393
     .078686     .220893     .819036     .725884     .059882
     .313729     .070558     .939153     .506196     .751715
   brank test summary for otphex2.32     
       The KS test for those 25 supposed UNI's yields
                    KS p-value= .344304
--------------------------------------------------------------------------------
  No. missing words should average  141909. with sigma=428.
 tst no  1:  141198 missing words,   -1.66 sigmas from mean, p-value= .04826
 tst no  2:  141711 missing words,    -.46 sigmas from mean, p-value= .32154
 tst no  3:  141715 missing words,    -.45 sigmas from mean, p-value= .32490
 tst no  4:  141859 missing words,    -.12 sigmas from mean, p-value= .45320
 tst no  5:  141695 missing words,    -.50 sigmas from mean, p-value= .30827
 tst no  6:  141774 missing words,    -.32 sigmas from mean, p-value= .37593
 tst no  7:  141623 missing words,    -.67 sigmas from mean, p-value= .25175
 tst no  8:  141051 missing words,   -2.01 sigmas from mean, p-value= .02246
 tst no  9:  141568 missing words,    -.80 sigmas from mean, p-value= .21258
 tst no 10:  141858 missing words,    -.12 sigmas from mean, p-value= .45227
 tst no 11:  142245 missing words,     .78 sigmas from mean, p-value= .78356
 tst no 12:  141591 missing words,    -.74 sigmas from mean, p-value= .22851
 tst no 13:  141211 missing words,   -1.63 sigmas from mean, p-value= .05138
 tst no 14:  141987 missing words,     .18 sigmas from mean, p-value= .57200
 tst no 15:  142551 missing words,    1.50 sigmas from mean, p-value= .93309
 tst no 16:  141057 missing words,   -1.99 sigmas from mean, p-value= .02322
 tst no 17:  142423 missing words,    1.20 sigmas from mean, p-value= .88496
 tst no 18:  141356 missing words,   -1.29 sigmas from mean, p-value= .09804
 tst no 19:  141907 missing words,    -.01 sigmas from mean, p-value= .49783
 tst no 20:  142086 missing words,     .41 sigmas from mean, p-value= .66012
--------------------------------------------------------------------------------
    OPSO for otphex2.32      using bits 23 to 32        142044   .464  .6788
    OPSO for otphex2.32      using bits 22 to 31        142380  1.623  .9477
    OPSO for otphex2.32      using bits 21 to 30        141781  -.443  .3291
    OPSO for otphex2.32      using bits 20 to 29        141562 -1.198  .1155
    OPSO for otphex2.32      using bits 19 to 28        142025   .399  .6550
    OPSO for otphex2.32      using bits 18 to 27        142076   .575  .7173
    OPSO for otphex2.32      using bits 17 to 26        141469 -1.518  .0645
    OPSO for otphex2.32      using bits 16 to 25        141823  -.298  .3830
    OPSO for otphex2.32      using bits 15 to 24        142246  1.161  .8772
    OPSO for otphex2.32      using bits 14 to 23        142261  1.213  .8874
    OPSO for otphex2.32      using bits 13 to 22        141778  -.453  .3253
    OPSO for otphex2.32      using bits 12 to 21        142151   .833  .7977
    OPSO for otphex2.32      using bits 11 to 20        141895  -.049  .4803
    OPSO for otphex2.32      using bits 10 to 19        142068   .547  .7079
    OPSO for otphex2.32      using bits  9 to 18        141794  -.398  .3454
    OPSO for otphex2.32      using bits  8 to 17        142247  1.164  .8779
    OPSO for otphex2.32      using bits  7 to 16        142183   .944  .8273
    OPSO for otphex2.32      using bits  6 to 15        142294  1.326  .9077
    OPSO for otphex2.32      using bits  5 to 14        142073   .564  .7138
    OPSO for otphex2.32      using bits  4 to 13        141760  -.515  .3033
    OPSO for otphex2.32      using bits  3 to 12        141645  -.911  .1810
    OPSO for otphex2.32      using bits  2 to 11        141929   .068  .5270
    OPSO for otphex2.32      using bits  1 to 10        141976   .230  .5909
    OQSO for otphex2.32      using bits 28 to 32        141640  -.913  .1806
    OQSO for otphex2.32      using bits 27 to 31        142927  3.450  .9997
    OQSO for otphex2.32      using bits 26 to 30        141887  -.076  .4698
    OQSO for otphex2.32      using bits 25 to 29        142232  1.094  .8630
    OQSO for otphex2.32      using bits 24 to 28        141809  -.340  .3669
    OQSO for otphex2.32      using bits 23 to 27        141962   .179  .5709
    OQSO for otphex2.32      using bits 22 to 26        142026   .395  .6538
    OQSO for otphex2.32      using bits 21 to 25        142202   .992  .8394
    OQSO for otphex2.32      using bits 20 to 24        141953   .148  .5588
    OQSO for otphex2.32      using bits 19 to 23        142329  1.423  .9226
    OQSO for otphex2.32      using bits 18 to 22        141760  -.506  .3064
    OQSO for otphex2.32      using bits 17 to 21        142040   .443  .6711
    OQSO for otphex2.32      using bits 16 to 20        141490 -1.421  .0776
    OQSO for otphex2.32      using bits 15 to 19        141802  -.364  .3580
    OQSO for otphex2.32      using bits 14 to 18        142008   .334  .6310
    OQSO for otphex2.32      using bits 13 to 17        142454  1.846  .9676
    OQSO for otphex2.32      using bits 12 to 16        141761  -.503  .3075
    OQSO for otphex2.32      using bits 11 to 15        141801  -.367  .3567
    OQSO for otphex2.32      using bits 10 to 14        142767  2.907  .9982
    OQSO for otphex2.32      using bits  9 to 13        141866  -.147  .4416
    OQSO for otphex2.32      using bits  8 to 12        142640  2.477  .9934
    OQSO for otphex2.32      using bits  7 to 11        142242  1.128  .8703
    OQSO for otphex2.32      using bits  6 to 10        142486  1.955  .9747
    OQSO for otphex2.32      using bits  5 to  9        141665  -.828  .2038
    OQSO for otphex2.32      using bits  4 to  8        142028   .402  .6563
    OQSO for otphex2.32      using bits  3 to  7        141710  -.676  .2496
    OQSO for otphex2.32      using bits  2 to  6        141771  -.469  .3196
    OQSO for otphex2.32      using bits  1 to  5        142061   .514  .6964
     DNA for otphex2.32      using bits 31 to 32        141892  -.051  .4796
     DNA for otphex2.32      using bits 30 to 31        141705  -.603  .2733
     DNA for otphex2.32      using bits 29 to 30        142369  1.356  .9124
     DNA for otphex2.32      using bits 28 to 29        140990 -2.712  .0033
     DNA for otphex2.32      using bits 27 to 28        141948   .114  .5454
     DNA for otphex2.32      using bits 26 to 27        141947   .111  .5442
     DNA for otphex2.32      using bits 25 to 26        141523 -1.140  .1272
     DNA for otphex2.32      using bits 24 to 25        142575  1.964  .9752
     DNA for otphex2.32      using bits 23 to 24        141860  -.146  .4422
     DNA for otphex2.32      using bits 22 to 23        141932   .067  .5267
     DNA for otphex2.32      using bits 21 to 22        141834  -.222  .4121
     DNA for otphex2.32      using bits 20 to 21        141940   .090  .5360
     DNA for otphex2.32      using bits 19 to 20        142065   .459  .6770
     DNA for otphex2.32      using bits 18 to 19        141725  -.544  .2933
     DNA for otphex2.32      using bits 17 to 18        142668  2.238  .9874
     DNA for otphex2.32      using bits 16 to 17        141988   .232  .5918
     DNA for otphex2.32      using bits 15 to 16        141945   .105  .5419
     DNA for otphex2.32      using bits 14 to 15        141725  -.544  .2933
     DNA for otphex2.32      using bits 13 to 14        142059   .442  .6706
     DNA for otphex2.32      using bits 12 to 13        141860  -.146  .4422
     DNA for otphex2.32      using bits 11 to 12        142554  1.902  .9714
     DNA for otphex2.32      using bits 10 to 11        142095   .548  .7081
     DNA for otphex2.32      using bits  9 to 10        141713  -.579  .2812
     DNA for otphex2.32      using bits  8 to  9        142041   .388  .6511
     DNA for otphex2.32      using bits  7 to  8        141607  -.892  .1862
     DNA for otphex2.32      using bits  6 to  7        142213   .896  .8148
     DNA for otphex2.32      using bits  5 to  6        141325 -1.724  .0424
     DNA for otphex2.32      using bits  4 to  5        141423 -1.435  .0757
     DNA for otphex2.32      using bits  3 to  4        142054   .427  .6652
     DNA for otphex2.32      using bits  2 to  3        142273  1.073  .8583
     DNA for otphex2.32      using bits  1 to  2        141448 -1.361  .0868
--------------------------------------------------------------------------------
   Test results for otphex2.32     
 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 otphex2.32       2521.75       .308      .620827
 byte stream for otphex2.32       2583.81      1.185      .882040
--------------------------------------------------------------------------------
 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  2447.97      -.736      .230916
           bits  2 to  9  2448.08      -.734      .231409
           bits  3 to 10  2481.44      -.262      .396487
           bits  4 to 11  2403.74     -1.361      .086706
           bits  5 to 12  2546.71       .661      .745556
           bits  6 to 13  2431.48      -.969      .166253
           bits  7 to 14  2568.30       .966      .832940
           bits  8 to 15  2513.98       .198      .578380
           bits  9 to 16  2486.03      -.198      .421717
           bits 10 to 17  2388.03     -1.584      .056654
           bits 11 to 18  2561.24       .866      .806777
           bits 12 to 19  2574.73      1.057      .854722
           bits 13 to 20  2587.13      1.232      .891054
           bits 14 to 21  2344.46     -2.200      .013913
           bits 15 to 22  2461.23      -.548      .291724
           bits 16 to 23  2561.68       .872      .808473
           bits 17 to 24  2496.95      -.043      .482795
           bits 18 to 25  2426.50     -1.039      .149291
           bits 19 to 26  2614.83      1.624      .947803
           bits 20 to 27  2469.31      -.434      .332159
           bits 21 to 28  2506.79       .096      .538240
           bits 22 to 29  2582.46      1.166      .878234
           bits 23 to 30  2536.86       .521      .698923
           bits 24 to 31  2565.67       .929      .823485
           bits 25 to 32  2607.47      1.520      .935729
--------------------------------------------------------------------------------
           CDPARK: result of ten tests on file otphex2.32     
            Of 12,000 tries, the average no. of successes
                 should be 3523 with sigma=21.9
            Successes: 3493    z-score: -1.370 p-value: .085365
            Successes: 3466    z-score: -2.603 p-value: .004624
            Successes: 3521    z-score:  -.091 p-value: .463618
            Successes: 3590    z-score:  3.059 p-value: .998891
            Successes: 3555    z-score:  1.461 p-value: .928018
            Successes: 3511    z-score:  -.548 p-value: .291865
            Successes: 3493    z-score: -1.370 p-value: .085365
            Successes: 3516    z-score:  -.320 p-value: .374623
            Successes: 3515    z-score:  -.365 p-value: .357445
            Successes: 3460    z-score: -2.877 p-value: .002009
 
           square size   avg. no.  parked   sample sigma
             100.            3512.000       36.846
            KSTEST for the above 10: p=  .976607
--------------------------------------------------------------------------------
               This is the MINIMUM DISTANCE test
              for random integers in the file otphex2.32     
     Sample no.    d^2     avg     equiv uni            
           5     .3616    .5635     .304702
          10    1.5328    .8633     .785729
          15    2.8061    .9251     .940404
          20     .6847    .9421     .497511
          25    2.0883   1.0010     .877393
          30     .4975    .9449     .393480
          35    1.0217    .8686     .641852
          40     .1880    .8307     .172132
          45    1.3607    .8625     .745260
          50     .9736    .8410     .624112
          55    1.2200    .9186     .706579
          60     .2774    .9728     .243267
          65    1.0925    .9650     .666471
          70     .3646    .9496     .306763
          75    1.2063    .9441     .702520
          80     .4019    .9226     .332325
          85     .6680    .9070     .488960
          90    4.9605    .9265     .993163
          95     .3165    .8941     .272440
         100    1.5969    .9768     .799097
     MINIMUM DISTANCE TEST for otphex2.32     
          Result of KS test on 20 transformed mindist^2's:
                                  p-value= .196463
--------------------------------------------------------------------------------
               The 3DSPHERES test for file otphex2.32     
 sample no:  1     r^3=  49.078     p-value= .80523
 sample no:  2     r^3=  25.519     p-value= .57286
 sample no:  3     r^3=  29.395     p-value= .62462
 sample no:  4     r^3=   2.383     p-value= .07637
 sample no:  5     r^3=   3.846     p-value= .12032
 sample no:  6     r^3=  45.588     p-value= .78120
 sample no:  7     r^3=   4.086     p-value= .12732
 sample no:  8     r^3=   9.946     p-value= .28219
 sample no:  9     r^3=  15.206     p-value= .39763
 sample no: 10     r^3=  17.332     p-value= .43883
 sample no: 11     r^3=  30.657     p-value= .64009
 sample no: 12     r^3=    .028     p-value= .00092
 sample no: 13     r^3=  71.827     p-value= .90876
 sample no: 14     r^3=   5.988     p-value= .18095
 sample no: 15     r^3=   3.866     p-value= .12091
 sample no: 16     r^3=  13.318     p-value= .35850
 sample no: 17     r^3=   5.221     p-value= .15974
 sample no: 18     r^3=   4.866     p-value= .14974
 sample no: 19     r^3=  14.633     p-value= .38600
 sample no: 20     r^3=   5.992     p-value= .18105
       3DSPHERES test for file otphex2.32           p-value= .952333
--------------------------------------------------------------------------------
            RESULTS OF SQUEEZE TEST FOR otphex2.32     
         Table of standardized frequency counts
     ( (obs-exp)/sqrt(exp) )^2
        for j taking values <=6,7,8,...,47,>=48:
     -.8     -.7     -.4      .6      .3    -1.3
     -.5     1.9      .0     1.1      .5      .2
     -.9     -.7     1.4     -.2    -1.0     -.3
      .2     -.3      .2     -.7     1.4    -1.1
     1.7    -1.1     1.9    -1.6     -.2     -.1
    -1.0     1.0    -1.2      .9     -.6      .6
      .5      .5      .1      .4    -1.3    -1.0
      .8
           Chi-square with 42 degrees of freedom: 36.305
              z-score=  -.621  p-value= .281267
______________________________________________________________
--------------------------------------------------------------------------------
                Test no.  1      p-value  .197913
                Test no.  2      p-value  .238840
                Test no.  3      p-value  .614095
                Test no.  4      p-value  .976908
                Test no.  5      p-value  .766017
                Test no.  6      p-value  .291146
                Test no.  7      p-value  .902510
                Test no.  8      p-value  .968723
                Test no.  9      p-value  .734532
                Test no. 10      p-value  .072760
   Results of the OSUM test for otphex2.32     
        KSTEST on the above 10 p-values:  .596783
--------------------------------------------------------------------------------
           The RUNS test for file otphex2.32     
     Up and down runs in a sample of 10000
_________________________________________________ 
                 Run test for otphex2.32     :
       runs up; ks test for 10 p's: .992537
     runs down; ks test for 10 p's: .635363
                 Run test for otphex2.32     :
       runs up; ks test for 10 p's: .852661
     runs down; ks test for 10 p's: .891097
--------------------------------------------------------------------------------
                Results of craps test for otphex2.32     
  No. of wins:  Observed Expected
                                98456    98585.86
 Chisq=  23.99 for 20 degrees of freedom, p=  .75729
               Throws Observed Expected  Chisq     Sum
            SUMMARY  FOR otphex2.32     
                p-value for no. of wins: .280685
                p-value for throws/game: .757293
  Test completed.  File otphex2.32     
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

