BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA=  2.0000
           otphex3.32      using bits  1 to 24 p-value=  .960907
           otphex3.32      using bits  2 to 25 p-value=  .149599
           otphex3.32      using bits  3 to 26 p-value=  .313065
           otphex3.32      using bits  4 to 27 p-value=  .477164
           otphex3.32      using bits  5 to 28 p-value=  .142215
           otphex3.32      using bits  6 to 29 p-value=  .342128
           otphex3.32      using bits  7 to 30 p-value=  .096086
           otphex3.32      using bits  8 to 31 p-value=  .414747
           otphex3.32      using bits  9 to 32 p-value=  .358824
   The 9 p-values were
        .960907   .149599   .313065   .477164   .142215
        .342128   .096086   .414747   .358824
  A KSTEST for the 9 p-values yields  .835603
--------------------------------------------------------------------------------
           OPERM5 test for file otphex3.32     
 chisquare for 99 degrees of freedom=107.412; p-value= .735336
           OPERM5 test for file otphex3.32     
 chisquare for 99 degrees of freedom= 97.682; p-value= .481384
--------------------------------------------------------------------------------
    Binary rank test for otphex3.32     
         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       224     211.4   .748784     .749
        29      5083    5134.0   .506825    1.256
        30     23057   23103.0   .091776    1.347
        31     11636   11551.5   .617765    1.965
  chisquare= 1.965 for 3 d. of f.; p-value= .500811
    Binary rank test for otphex3.32     
         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       209     211.4   .027655     .028
        30      5025    5134.0  2.314611    2.342
        31     23217   23103.0   .562061    2.904
        32     11549   11551.5   .000552    2.905
  chisquare= 2.905 for 3 d. of f.; p-value= .637631
--------------------------------------------------------------------------------
 b-rank test for bits  1 to  8 p=1-exp(-SUM/2)= .41875
 b-rank test for bits  2 to  9 p=1-exp(-SUM/2)= .27263
 b-rank test for bits  3 to 10 p=1-exp(-SUM/2)= .83322
 b-rank test for bits  4 to 11 p=1-exp(-SUM/2)= .16401
 b-rank test for bits  5 to 12 p=1-exp(-SUM/2)= .46886
 b-rank test for bits  6 to 13 p=1-exp(-SUM/2)= .81535
 b-rank test for bits  7 to 14 p=1-exp(-SUM/2)= .44721
 b-rank test for bits  8 to 15 p=1-exp(-SUM/2)= .38508
 b-rank test for bits  9 to 16 p=1-exp(-SUM/2)= .29573
 b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .59229
 b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .68364
 b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .78955
 b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .83057
 b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .47462
 b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .24727
 b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .63033
 b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .78366
 b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .69889
 b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .95028
 b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .91781
 b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .07007
 b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .84776
 b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .97712
 b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .56983
 b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .59898
   TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices
 These should be 25 uniform [0,1] random variables:
     .418747     .272627     .833218     .164008     .468855
     .815354     .447211     .385078     .295734     .592294
     .683637     .789546     .830572     .474622     .247270
     .630327     .783658     .698887     .950277     .917805
     .070068     .847758     .977116     .569830     .598984
   brank test summary for otphex3.32     
       The KS test for those 25 supposed UNI's yields
                    KS p-value= .805442
--------------------------------------------------------------------------------
  No. missing words should average  141909. with sigma=428.
 tst no  1:  142186 missing words,     .65 sigmas from mean, p-value= .74100
 tst no  2:  141323 missing words,   -1.37 sigmas from mean, p-value= .08536
 tst no  3:  142405 missing words,    1.16 sigmas from mean, p-value= .87659
 tst no  4:  142586 missing words,    1.58 sigmas from mean, p-value= .94306
 tst no  5:  141986 missing words,     .18 sigmas from mean, p-value= .57109
 tst no  6:  141993 missing words,     .20 sigmas from mean, p-value= .57750
 tst no  7:  141642 missing words,    -.62 sigmas from mean, p-value= .26612
 tst no  8:  141802 missing words,    -.25 sigmas from mean, p-value= .40100
 tst no  9:  142003 missing words,     .22 sigmas from mean, p-value= .58662
 tst no 10:  141703 missing words,    -.48 sigmas from mean, p-value= .31488
 tst no 11:  141280 missing words,   -1.47 sigmas from mean, p-value= .07073
 tst no 12:  141813 missing words,    -.23 sigmas from mean, p-value= .41096
 tst no 13:  142045 missing words,     .32 sigmas from mean, p-value= .62437
 tst no 14:  142281 missing words,     .87 sigmas from mean, p-value= .80741
 tst no 15:  142163 missing words,     .59 sigmas from mean, p-value= .72331
 tst no 16:  142274 missing words,     .85 sigmas from mean, p-value= .80290
 tst no 17:  141773 missing words,    -.32 sigmas from mean, p-value= .37504
 tst no 18:  141404 missing words,   -1.18 sigmas from mean, p-value= .11887
 tst no 19:  142255 missing words,     .81 sigmas from mean, p-value= .79035
 tst no 20:  142034 missing words,     .29 sigmas from mean, p-value= .61458
--------------------------------------------------------------------------------
    OPSO for otphex3.32      using bits 23 to 32        142473  1.944  .9740
    OPSO for otphex3.32      using bits 22 to 31        141983   .254  .6003
    OPSO for otphex3.32      using bits 21 to 30        142012   .354  .6383
    OPSO for otphex3.32      using bits 20 to 29        142144   .809  .7908
    OPSO for otphex3.32      using bits 19 to 28        142070   .554  .7102
    OPSO for otphex3.32      using bits 18 to 27        141813  -.332  .3699
    OPSO for otphex3.32      using bits 17 to 26        141869  -.139  .4447
    OPSO for otphex3.32      using bits 16 to 25        141465 -1.532  .0627
    OPSO for otphex3.32      using bits 15 to 24        142121   .730  .7673
    OPSO for otphex3.32      using bits 14 to 23        141665  -.843  .1998
    OPSO for otphex3.32      using bits 13 to 22        141789  -.415  .3391
    OPSO for otphex3.32      using bits 12 to 21        142109   .689  .7544
    OPSO for otphex3.32      using bits 11 to 20        141539 -1.277  .1008
    OPSO for otphex3.32      using bits 10 to 19        141625  -.980  .1634
    OPSO for otphex3.32      using bits  9 to 18        141487 -1.456  .0727
    OPSO for otphex3.32      using bits  8 to 17        142174   .913  .8193
    OPSO for otphex3.32      using bits  7 to 16        142160   .864  .8063
    OPSO for otphex3.32      using bits  6 to 15        142067   .544  .7067
    OPSO for otphex3.32      using bits  5 to 14        141837  -.249  .4015
    OPSO for otphex3.32      using bits  4 to 13        141508 -1.384  .0832
    OPSO for otphex3.32      using bits  3 to 12        141795  -.394  .3467
    OPSO for otphex3.32      using bits  2 to 11        142192   .975  .8352
    OPSO for otphex3.32      using bits  1 to 10        141931   .075  .5298
    OQSO for otphex3.32      using bits 28 to 32        142183   .928  .8232
    OQSO for otphex3.32      using bits 27 to 31        141392 -1.754  .0397
    OQSO for otphex3.32      using bits 26 to 30        141633  -.937  .1745
    OQSO for otphex3.32      using bits 25 to 29        141890  -.066  .4739
    OQSO for otphex3.32      using bits 24 to 28        142083   .589  .7220
    OQSO for otphex3.32      using bits 23 to 27        142032   .416  .6612
    OQSO for otphex3.32      using bits 22 to 26        142064   .524  .7000
    OQSO for otphex3.32      using bits 21 to 25        141683  -.767  .2215
    OQSO for otphex3.32      using bits 20 to 24        142173   .894  .8143
    OQSO for otphex3.32      using bits 19 to 23        141838  -.242  .4045
    OQSO for otphex3.32      using bits 18 to 22        141391 -1.757  .0395
    OQSO for otphex3.32      using bits 17 to 21        141655  -.862  .1943
    OQSO for otphex3.32      using bits 16 to 20        141776  -.452  .3256
    OQSO for otphex3.32      using bits 15 to 19        141789  -.408  .3417
    OQSO for otphex3.32      using bits 14 to 18        142261  1.192  .8834
    OQSO for otphex3.32      using bits 13 to 17        142694  2.660  .9961
    OQSO for otphex3.32      using bits 12 to 16        141922   .043  .5171
    OQSO for otphex3.32      using bits 11 to 15        142117   .704  .7593
    OQSO for otphex3.32      using bits 10 to 14        142068   .538  .7047
    OQSO for otphex3.32      using bits  9 to 13        142115   .697  .7572
    OQSO for otphex3.32      using bits  8 to 12        142257  1.179  .8807
    OQSO for otphex3.32      using bits  7 to 11        142312  1.365  .9139
    OQSO for otphex3.32      using bits  6 to 10        142232  1.094  .8630
    OQSO for otphex3.32      using bits  5 to  9        141501 -1.384  .0832
    OQSO for otphex3.32      using bits  4 to  8        141491 -1.418  .0781
    OQSO for otphex3.32      using bits  3 to  7        141584 -1.103  .1351
    OQSO for otphex3.32      using bits  2 to  6        141785  -.421  .3367
    OQSO for otphex3.32      using bits  1 to  5        142128   .741  .7707
     DNA for otphex3.32      using bits 31 to 32        141395 -1.517  .0646
     DNA for otphex3.32      using bits 30 to 31        142082   .509  .6947
     DNA for otphex3.32      using bits 29 to 30        141673  -.697  .2429
     DNA for otphex3.32      using bits 28 to 29        142118   .616  .7309
     DNA for otphex3.32      using bits 27 to 28        142257  1.026  .8475
     DNA for otphex3.32      using bits 26 to 27        142348  1.294  .9022
     DNA for otphex3.32      using bits 25 to 26        142341  1.273  .8986
     DNA for otphex3.32      using bits 24 to 25        141640  -.794  .2135
     DNA for otphex3.32      using bits 23 to 24        141738  -.505  .3066
     DNA for otphex3.32      using bits 22 to 23        142104   .574  .7171
     DNA for otphex3.32      using bits 21 to 22        142396  1.436  .9244
     DNA for otphex3.32      using bits 20 to 21        142084   .515  .6968
     DNA for otphex3.32      using bits 19 to 20        142589  2.005  .9775
     DNA for otphex3.32      using bits 18 to 19        142342  1.276  .8991
     DNA for otphex3.32      using bits 17 to 18        142274  1.076  .8590
     DNA for otphex3.32      using bits 16 to 17        142343  1.279  .8996
     DNA for otphex3.32      using bits 15 to 16        142278  1.088  .8616
     DNA for otphex3.32      using bits 14 to 15        141471 -1.293  .0980
     DNA for otphex3.32      using bits 13 to 14        142084   .515  .6968
     DNA for otphex3.32      using bits 12 to 13        141911   .005  .5020
     DNA for otphex3.32      using bits 11 to 12        141288 -1.833  .0334
     DNA for otphex3.32      using bits 10 to 11        141830  -.234  .4075
     DNA for otphex3.32      using bits  9 to 10        142404  1.459  .9277
     DNA for otphex3.32      using bits  8 to  9        142436  1.554  .9399
     DNA for otphex3.32      using bits  7 to  8        142280  1.093  .8629
     DNA for otphex3.32      using bits  6 to  7        141773  -.402  .3438
     DNA for otphex3.32      using bits  5 to  6        141607  -.892  .1862
     DNA for otphex3.32      using bits  4 to  5        141625  -.839  .2008
     DNA for otphex3.32      using bits  3 to  4        141790  -.352  .3624
     DNA for otphex3.32      using bits  2 to  3        142179   .795  .7868
     DNA for otphex3.32      using bits  1 to  2        142117   .613  .7299
--------------------------------------------------------------------------------
   Test results for otphex3.32     
 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 otphex3.32       2503.98       .056      .522426
 byte stream for otphex3.32       2433.93      -.934      .175049
--------------------------------------------------------------------------------
 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  2632.85      1.879      .969863
           bits  2 to  9  2443.92      -.793      .213864
           bits  3 to 10  2507.88       .111      .544348
           bits  4 to 11  2614.79      1.623      .947747
           bits  5 to 12  2490.22      -.138      .444978
           bits  6 to 13  2471.71      -.400      .344532
           bits  7 to 14  2450.50      -.700      .241954
           bits  8 to 15  2516.40       .232      .591676
           bits  9 to 16  2479.28      -.293      .384727
           bits 10 to 17  2364.57     -1.915      .027731
           bits 11 to 18  2590.55      1.281      .899827
           bits 12 to 19  2510.88       .154      .561162
           bits 13 to 20  2615.96      1.640      .949488
           bits 14 to 21  2517.45       .247      .597479
           bits 15 to 22  2640.98      1.994      .976914
           bits 16 to 23  2379.50     -1.704      .044178
           bits 17 to 24  2651.28      2.139      .983797
           bits 18 to 25  2538.41       .543      .706482
           bits 19 to 26  2546.10       .652      .742768
           bits 20 to 27  2526.13       .370      .644144
           bits 21 to 28  2433.83      -.936      .174703
           bits 22 to 29  2427.57     -1.024      .152829
           bits 23 to 30  2363.60     -1.929      .026863
           bits 24 to 31  2604.97      1.484      .931155
           bits 25 to 32  2551.31       .726      .765957
--------------------------------------------------------------------------------
           CDPARK: result of ten tests on file otphex3.32     
            Of 12,000 tries, the average no. of successes
                 should be 3523 with sigma=21.9
            Successes: 3537    z-score:   .639 p-value: .738676
            Successes: 3527    z-score:   .183 p-value: .572463
            Successes: 3510    z-score:  -.594 p-value: .276387
            Successes: 3513    z-score:  -.457 p-value: .323972
            Successes: 3508    z-score:  -.685 p-value: .246694
            Successes: 3522    z-score:  -.046 p-value: .481790
            Successes: 3531    z-score:   .365 p-value: .642555
            Successes: 3498    z-score: -1.142 p-value: .126820
            Successes: 3508    z-score:  -.685 p-value: .246694
            Successes: 3531    z-score:   .365 p-value: .642555
 
           square size   avg. no.  parked   sample sigma
             100.            3518.500       12.205
            KSTEST for the above 10: p=  .597435
--------------------------------------------------------------------------------
               This is the MINIMUM DISTANCE test
              for random integers in the file otphex3.32     
     Sample no.    d^2     avg     equiv uni            
           5    1.0139    .9094     .639031
          10     .4973    .6513     .393345
          15     .2614    .6576     .231015
          20     .8450   1.0474     .572283
          25    1.1240   1.1447     .676846
          30    1.1321   1.1624     .679481
          35     .6102   1.0954     .458426
          40    1.0319   1.0523     .645513
          45     .7686   1.0521     .538118
          50    2.6792   1.0568     .932297
          55     .4648   1.0753     .373226
          60     .4174   1.0210     .342597
          65    1.3941   1.0227     .753674
          70     .7549   1.0456     .531742
          75     .4231   1.0341     .346371
          80     .1050   1.0272     .100163
          85     .7777   1.0121     .542322
          90     .1239   1.0001     .117100
          95    1.6008   1.0028     .799879
         100     .7474    .9957     .528171
     MINIMUM DISTANCE TEST for otphex3.32     
          Result of KS test on 20 transformed mindist^2's:
                                  p-value= .569022
--------------------------------------------------------------------------------
               The 3DSPHERES test for file otphex3.32     
 sample no:  1     r^3=  20.003     p-value= .48663
 sample no:  2     r^3=  46.108     p-value= .78496
 sample no:  3     r^3=  16.712     p-value= .42711
 sample no:  4     r^3=  27.684     p-value= .60259
 sample no:  5     r^3=  36.381     p-value= .70261
 sample no:  6     r^3=   5.902     p-value= .17860
 sample no:  7     r^3=   3.871     p-value= .12105
 sample no:  8     r^3=   2.313     p-value= .07421
 sample no:  9     r^3=  73.295     p-value= .91311
 sample no: 10     r^3=  26.363     p-value= .58470
 sample no: 11     r^3=  91.311     p-value= .95234
 sample no: 12     r^3=   9.957     p-value= .28244
 sample no: 13     r^3=  25.848     p-value= .57752
 sample no: 14     r^3=  51.267     p-value= .81894
 sample no: 15     r^3=   4.208     p-value= .13088
 sample no: 16     r^3=   3.379     p-value= .10653
 sample no: 17     r^3=  12.498     p-value= .34072
 sample no: 18     r^3=   3.437     p-value= .10825
 sample no: 19     r^3=  12.667     p-value= .34441
 sample no: 20     r^3=  68.273     p-value= .89728
       3DSPHERES test for file otphex3.32           p-value= .114540
--------------------------------------------------------------------------------
            RESULTS OF SQUEEZE TEST FOR otphex3.32     
         Table of standardized frequency counts
     ( (obs-exp)/sqrt(exp) )^2
        for j taking values <=6,7,8,...,47,>=48:
     -.8      .9    -1.1     -.4      .5     -.2
      .5     1.0     -.3    -3.3    -1.5     -.1
      .5      .8     1.5     1.4     1.2      .2
    -1.7      .2    -1.8     -.8    -1.2     1.5
      .5     1.5      .9    -1.5      .1      .6
    -2.1      .0    -1.1     1.5      .2    -1.6
     -.9     -.4      .5     2.1     -.6    -1.0
    -1.1
           Chi-square with 42 degrees of freedom: 58.943
              z-score=  1.849  p-value= .956998
______________________________________________________________
--------------------------------------------------------------------------------
                Test no.  1      p-value  .413648
                Test no.  2      p-value  .524398
                Test no.  3      p-value  .249408
                Test no.  4      p-value  .062968
                Test no.  5      p-value  .529715
                Test no.  6      p-value  .238784
                Test no.  7      p-value  .906868
                Test no.  8      p-value  .492006
                Test no.  9      p-value  .494142
                Test no. 10      p-value  .969418
   Results of the OSUM test for otphex3.32     
        KSTEST on the above 10 p-values:  .230734
--------------------------------------------------------------------------------
           The RUNS test for file otphex3.32     
     Up and down runs in a sample of 10000
_________________________________________________ 
                 Run test for otphex3.32     :
       runs up; ks test for 10 p's: .274137
     runs down; ks test for 10 p's: .228789
                 Run test for otphex3.32     :
       runs up; ks test for 10 p's: .110730
     runs down; ks test for 10 p's: .867859
--------------------------------------------------------------------------------
                Results of craps test for otphex3.32     
  No. of wins:  Observed Expected
                                98462    98585.86
 Chisq=  17.02 for 20 degrees of freedom, p=  .34846
               Throws Observed Expected  Chisq     Sum
            SUMMARY  FOR otphex3.32     
                p-value for no. of wins: .289799
                p-value for throws/game: .348455
  Test completed.  File otphex3.32     
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

