BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA=  2.0000
           otphex1.32      using bits  1 to 24 p-value=  .992602
           otphex1.32      using bits  2 to 25 p-value=  .312803
           otphex1.32      using bits  3 to 26 p-value=  .843892
           otphex1.32      using bits  4 to 27 p-value=  .053142
           otphex1.32      using bits  5 to 28 p-value=  .153896
           otphex1.32      using bits  6 to 29 p-value=  .394578
           otphex1.32      using bits  7 to 30 p-value=  .763769
           otphex1.32      using bits  8 to 31 p-value=  .104060
           otphex1.32      using bits  9 to 32 p-value=  .253788
   The 9 p-values were
        .992602   .312803   .843892   .053142   .153896
        .394578   .763769   .104060   .253788
  A KSTEST for the 9 p-values yields  .510549
--------------------------------------------------------------------------------
           OPERM5 test for file otphex1.32     
 chisquare for 99 degrees of freedom=108.673; p-value= .762254
           OPERM5 test for file otphex1.32     
 chisquare for 99 degrees of freedom=106.557; p-value= .716103
--------------------------------------------------------------------------------
    Binary rank test for otphex1.32     
         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       219     211.4   .271909     .272
        29      5204    5134.0   .954140    1.226
        30     23018   23103.0   .313074    1.539
        31     11559   11551.5   .004838    1.544
  chisquare= 1.544 for 3 d. of f.; p-value= .434853
    Binary rank test for otphex1.32     
         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       207     211.4   .092324     .092
        30      5133    5134.0   .000199     .093
        31     23065   23103.0   .062657     .155
        32     11595   11551.5   .163626     .319
  chisquare=  .319 for 3 d. of f.; p-value= .329710
--------------------------------------------------------------------------------
 b-rank test for bits  1 to  8 p=1-exp(-SUM/2)= .51614
 b-rank test for bits  2 to  9 p=1-exp(-SUM/2)= .62715
 b-rank test for bits  3 to 10 p=1-exp(-SUM/2)= .67934
 b-rank test for bits  4 to 11 p=1-exp(-SUM/2)= .29229
 b-rank test for bits  5 to 12 p=1-exp(-SUM/2)= .02553
 b-rank test for bits  6 to 13 p=1-exp(-SUM/2)= .05088
 b-rank test for bits  7 to 14 p=1-exp(-SUM/2)= .47212
 b-rank test for bits  8 to 15 p=1-exp(-SUM/2)= .96127
 b-rank test for bits  9 to 16 p=1-exp(-SUM/2)= .64787
 b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .17928
 b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .64518
 b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .09575
 b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .29067
 b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .46766
 b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .08469
 b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .66013
 b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .91288
 b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .79488
 b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .81836
 b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .62645
 b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .75959
 b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .13861
 b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .37720
 b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .45519
 b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .75154
   TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices
 These should be 25 uniform [0,1] random variables:
     .516136     .627150     .679342     .292294     .025530
     .050880     .472118     .961273     .647869     .179280
     .645178     .095749     .290674     .467658     .084693
     .660128     .912883     .794880     .818364     .626446
     .759594     .138606     .377196     .455191     .751544
   brank test summary for otphex1.32     
       The KS test for those 25 supposed UNI's yields
                    KS p-value= .084134
--------------------------------------------------------------------------------
  No. missing words should average  141909. with sigma=428.
 tst no  1:  141763 missing words,    -.34 sigmas from mean, p-value= .36622
 tst no  2:  140936 missing words,   -2.27 sigmas from mean, p-value= .01148
 tst no  3:  141725 missing words,    -.43 sigmas from mean, p-value= .33335
 tst no  4:  142027 missing words,     .27 sigmas from mean, p-value= .60832
 tst no  5:  141820 missing words,    -.21 sigmas from mean, p-value= .41734
 tst no  6:  141146 missing words,   -1.78 sigmas from mean, p-value= .03725
 tst no  7:  141715 missing words,    -.45 sigmas from mean, p-value= .32490
 tst no  8:  141327 missing words,   -1.36 sigmas from mean, p-value= .08682
 tst no  9:  142314 missing words,     .95 sigmas from mean, p-value= .82780
 tst no 10:  141890 missing words,    -.05 sigmas from mean, p-value= .48199
 tst no 11:  141400 missing words,   -1.19 sigmas from mean, p-value= .11702
 tst no 12:  141808 missing words,    -.24 sigmas from mean, p-value= .40643
 tst no 13:  141520 missing words,    -.91 sigmas from mean, p-value= .18150
 tst no 14:  141792 missing words,    -.27 sigmas from mean, p-value= .39199
 tst no 15:  142456 missing words,    1.28 sigmas from mean, p-value= .89925
 tst no 16:  141922 missing words,     .03 sigmas from mean, p-value= .51181
 tst no 17:  141602 missing words,    -.72 sigmas from mean, p-value= .23636
 tst no 18:  141221 missing words,   -1.61 sigmas from mean, p-value= .05389
 tst no 19:  141291 missing words,   -1.44 sigmas from mean, p-value= .07427
 tst no 20:  142003 missing words,     .22 sigmas from mean, p-value= .58662
--------------------------------------------------------------------------------
    OPSO for otphex1.32      using bits 23 to 32        142205  1.020  .8460
    OPSO for otphex1.32      using bits 22 to 31        141703  -.711  .2384
    OPSO for otphex1.32      using bits 21 to 30        141989   .275  .6082
    OPSO for otphex1.32      using bits 20 to 29        142027   .406  .6575
    OPSO for otphex1.32      using bits 19 to 28        142003   .323  .6267
    OPSO for otphex1.32      using bits 18 to 27        142418  1.754  .9603
    OPSO for otphex1.32      using bits 17 to 26        141889  -.070  .4721
    OPSO for otphex1.32      using bits 16 to 25        141866  -.149  .4406
    OPSO for otphex1.32      using bits 15 to 24        142045   .468  .6800
    OPSO for otphex1.32      using bits 14 to 23        141553 -1.229  .1096
    OPSO for otphex1.32      using bits 13 to 22        141657  -.870  .1921
    OPSO for otphex1.32      using bits 12 to 21        142097   .647  .7412
    OPSO for otphex1.32      using bits 11 to 20        142011   .351  .6371
    OPSO for otphex1.32      using bits 10 to 19        141870  -.136  .4461
    OPSO for otphex1.32      using bits  9 to 18        142002   .320  .6253
    OPSO for otphex1.32      using bits  8 to 17        141872  -.129  .4488
    OPSO for otphex1.32      using bits  7 to 16        142313  1.392  .9180
    OPSO for otphex1.32      using bits  6 to 15        141717  -.663  .2536
    OPSO for otphex1.32      using bits  5 to 14        141380 -1.825  .0340
    OPSO for otphex1.32      using bits  4 to 13        142054   .499  .6911
    OPSO for otphex1.32      using bits  3 to 12        142374  1.602  .9455
    OPSO for otphex1.32      using bits  2 to 11        142116   .713  .7620
    OPSO for otphex1.32      using bits  1 to 10        142321  1.420  .9221
    OQSO for otphex1.32      using bits 28 to 32        141819  -.306  .3797
    OQSO for otphex1.32      using bits 27 to 31        142004   .321  .6259
    OQSO for otphex1.32      using bits 26 to 30        141531 -1.282  .0998
    OQSO for otphex1.32      using bits 25 to 29        141455 -1.540  .0618
    OQSO for otphex1.32      using bits 24 to 28        141726  -.621  .2672
    OQSO for otphex1.32      using bits 23 to 27        141794  -.391  .3479
    OQSO for otphex1.32      using bits 22 to 26        141645  -.896  .1851
    OQSO for otphex1.32      using bits 21 to 25        141720  -.642  .2605
    OQSO for otphex1.32      using bits 20 to 24        142092   .619  .7321
    OQSO for otphex1.32      using bits 19 to 23        141463 -1.513  .0651
    OQSO for otphex1.32      using bits 18 to 22        141936   .090  .5360
    OQSO for otphex1.32      using bits 17 to 21        142085   .595  .7242
    OQSO for otphex1.32      using bits 16 to 20        142319  1.389  .9175
    OQSO for otphex1.32      using bits 15 to 19        141513 -1.343  .0896
    OQSO for otphex1.32      using bits 14 to 18        141772  -.466  .3208
    OQSO for otphex1.32      using bits 13 to 17        141839  -.238  .4058
    OQSO for otphex1.32      using bits 12 to 16        141811  -.333  .3694
    OQSO for otphex1.32      using bits 11 to 15        141533 -1.276  .1010
    OQSO for otphex1.32      using bits 10 to 14        141961   .175  .5695
    OQSO for otphex1.32      using bits  9 to 13        141769  -.476  .3171
    OQSO for otphex1.32      using bits  8 to 12        141990   .273  .6078
    OQSO for otphex1.32      using bits  7 to 11        141433 -1.615  .0532
    OQSO for otphex1.32      using bits  6 to 10        141900  -.032  .4874
    OQSO for otphex1.32      using bits  5 to  9        141889  -.069  .4725
    OQSO for otphex1.32      using bits  4 to  8        141743  -.564  .2864
    OQSO for otphex1.32      using bits  3 to  7        141564 -1.171  .1209
    OQSO for otphex1.32      using bits  2 to  6        142139   .779  .7819
    OQSO for otphex1.32      using bits  1 to  5        141986   .260  .6025
     DNA for otphex1.32      using bits 31 to 32        142037   .377  .6468
     DNA for otphex1.32      using bits 30 to 31        142183   .807  .7903
     DNA for otphex1.32      using bits 29 to 30        142173   .778  .7817
     DNA for otphex1.32      using bits 28 to 29        141659  -.738  .2301
     DNA for otphex1.32      using bits 27 to 28        141712  -.582  .2803
     DNA for otphex1.32      using bits 26 to 27        141899  -.030  .4878
     DNA for otphex1.32      using bits 25 to 26        141499 -1.210  .1131
     DNA for otphex1.32      using bits 24 to 25        141451 -1.352  .0882
     DNA for otphex1.32      using bits 23 to 24        141662  -.730  .2328
     DNA for otphex1.32      using bits 22 to 23        141548 -1.066  .1432
     DNA for otphex1.32      using bits 21 to 22        141689  -.650  .2579
     DNA for otphex1.32      using bits 20 to 21        142332  1.247  .8938
     DNA for otphex1.32      using bits 19 to 20        141859  -.148  .4410
     DNA for otphex1.32      using bits 18 to 19        141941   .093  .5372
     DNA for otphex1.32      using bits 17 to 18        141801  -.320  .3747
     DNA for otphex1.32      using bits 16 to 17        141774  -.399  .3449
     DNA for otphex1.32      using bits 15 to 16        142184   .810  .7911
     DNA for otphex1.32      using bits 14 to 15        142223   .925  .8226
     DNA for otphex1.32      using bits 13 to 14        141925   .046  .5184
     DNA for otphex1.32      using bits 12 to 13        142090   .533  .7030
     DNA for otphex1.32      using bits 11 to 12        141523 -1.140  .1272
     DNA for otphex1.32      using bits 10 to 11        142339  1.267  .8975
     DNA for otphex1.32      using bits  9 to 10        142237   .967  .8331
     DNA for otphex1.32      using bits  8 to  9        142031   .359  .6402
     DNA for otphex1.32      using bits  7 to  8        141237 -1.983  .0237
     DNA for otphex1.32      using bits  6 to  7        141063 -2.497  .0063
     DNA for otphex1.32      using bits  5 to  6        141926   .049  .5196
     DNA for otphex1.32      using bits  4 to  5        141918   .026  .5102
     DNA for otphex1.32      using bits  3 to  4        141894  -.045  .4820
     DNA for otphex1.32      using bits  2 to  3        141525 -1.134  .1285
     DNA for otphex1.32      using bits  1 to  2        141890  -.057  .4773
--------------------------------------------------------------------------------
   Test results for otphex1.32     
 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 otphex1.32       2553.58       .758      .775710
 byte stream for otphex1.32       2524.20       .342      .633893
--------------------------------------------------------------------------------
 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  2696.24      2.775      .997242
           bits  2 to  9  2474.71      -.358      .360278
           bits  3 to 10  2491.09      -.126      .449875
           bits  4 to 11  2512.18       .172      .568405
           bits  5 to 12  2597.48      1.379      .915977
           bits  6 to 13  2503.01       .043      .517005
           bits  7 to 14  2506.62       .094      .537283
           bits  8 to 15  2572.30      1.022      .846711
           bits  9 to 16  2486.11      -.197      .422109
           bits 10 to 17  2501.77       .025      .509999
           bits 11 to 18  2485.98      -.198      .421428
           bits 12 to 19  2611.74      1.580      .942979
           bits 13 to 20  2524.33       .344      .634581
           bits 14 to 21  2589.01      1.259      .895950
           bits 15 to 22  2534.64       .490      .687875
           bits 16 to 23  2446.83      -.752      .226031
           bits 17 to 24  2522.65       .320      .625620
           bits 18 to 25  2526.65       .377      .646880
           bits 19 to 26  2590.74      1.283      .900290
           bits 20 to 27  2478.44      -.305      .380218
           bits 21 to 28  2560.22       .852      .802787
           bits 22 to 29  2552.05       .736      .769168
           bits 23 to 30  2482.79      -.243      .403839
           bits 24 to 31  2511.23       .159      .563105
           bits 25 to 32  2608.85      1.539      .938147
--------------------------------------------------------------------------------
           CDPARK: result of ten tests on file otphex1.32     
            Of 12,000 tries, the average no. of successes
                 should be 3523 with sigma=21.9
            Successes: 3479    z-score: -2.009 p-value: .022262
            Successes: 3536    z-score:   .594 p-value: .723613
            Successes: 3535    z-score:   .548 p-value: .708135
            Successes: 3525    z-score:   .091 p-value: .536382
            Successes: 3504    z-score:  -.868 p-value: .192812
            Successes: 3466    z-score: -2.603 p-value: .004624
            Successes: 3561    z-score:  1.735 p-value: .958644
            Successes: 3495    z-score: -1.279 p-value: .100530
            Successes: 3518    z-score:  -.228 p-value: .409702
            Successes: 3532    z-score:   .411 p-value: .659449
 
           square size   avg. no.  parked   sample sigma
             100.            3515.100       27.510
            KSTEST for the above 10: p=  .636261
--------------------------------------------------------------------------------
               This is the MINIMUM DISTANCE test
              for random integers in the file otphex1.32     
     Sample no.    d^2     avg     equiv uni            
           5    1.6497   1.0160     .809481
          10     .0726   1.2319     .070373
          15     .4732   1.1851     .378502
          20     .6209   1.0826     .464210
          25     .0348   1.0413     .034409
          30     .2638   1.0462     .232897
          35     .8755   1.1031     .585181
          40    1.0809   1.1388     .662544
          45    2.5555   1.1149     .923339
          50     .4218   1.1039     .345540
          55    2.9402   1.1271     .947918
          60    1.0916   1.1084     .666152
          65    1.9251   1.1190     .855547
          70    1.0726   1.1476     .659721
          75     .6444   1.1968     .476717
          80    4.8800   1.2965     .992587
          85    3.9113   1.2931     .980375
          90     .1963   1.2546     .179067
          95     .0592   1.2436     .057789
         100    1.3233   1.2194     .735501
     MINIMUM DISTANCE TEST for otphex1.32     
          Result of KS test on 20 transformed mindist^2's:
                                  p-value= .965001
--------------------------------------------------------------------------------
               The 3DSPHERES test for file otphex1.32     
 sample no:  1     r^3=  37.234     p-value= .71094
 sample no:  2     r^3=  24.748     p-value= .56174
 sample no:  3     r^3=  20.508     p-value= .49521
 sample no:  4     r^3=  22.558     p-value= .52854
 sample no:  5     r^3=   8.514     p-value= .24709
 sample no:  6     r^3=   1.792     p-value= .05800
 sample no:  7     r^3=  40.284     p-value= .73889
 sample no:  8     r^3=  71.634     p-value= .90817
 sample no:  9     r^3=   7.561     p-value= .22278
 sample no: 10     r^3=  19.438     p-value= .47687
 sample no: 11     r^3=   8.105     p-value= .23674
 sample no: 12     r^3=  51.364     p-value= .81952
 sample no: 13     r^3=   1.601     p-value= .05198
 sample no: 14     r^3=  13.943     p-value= .37172
 sample no: 15     r^3=  37.800     p-value= .71635
 sample no: 16     r^3=   3.563     p-value= .11198
 sample no: 17     r^3= 100.560     p-value= .96499
 sample no: 18     r^3=   7.249     p-value= .21466
 sample no: 19     r^3=   2.195     p-value= .07055
 sample no: 20     r^3=  41.231     p-value= .74700
       3DSPHERES test for file otphex1.32           p-value= .145122
--------------------------------------------------------------------------------
            RESULTS OF SQUEEZE TEST FOR otphex1.32     
         Table of standardized frequency counts
     ( (obs-exp)/sqrt(exp) )^2
        for j taking values <=6,7,8,...,47,>=48:
     -.8      .1      .3    -1.1      .8      .9
     -.9      .2     1.8     -.4     -.4    -1.6
      .3     1.3    -1.5    -1.4     -.7      .7
      .0      .4      .5      .7     -.4     1.9
      .0    -1.6     1.7    -1.2      .0     1.1
      .7     -.1     -.2     -.5     1.0    -1.7
     1.7    -1.3      .1     1.5     -.6     3.0
      .8
           Chi-square with 42 degrees of freedom: 52.615
              z-score=  1.158  p-value= .873924
______________________________________________________________
--------------------------------------------------------------------------------
                Test no.  1      p-value  .325891
                Test no.  2      p-value  .418416
                Test no.  3      p-value  .855847
                Test no.  4      p-value  .380904
                Test no.  5      p-value  .396480
                Test no.  6      p-value  .439996
                Test no.  7      p-value  .085700
                Test no.  8      p-value  .564619
                Test no.  9      p-value  .698190
                Test no. 10      p-value  .610586
   Results of the OSUM test for otphex1.32     
        KSTEST on the above 10 p-values:  .465932
--------------------------------------------------------------------------------
           The RUNS test for file otphex1.32     
     Up and down runs in a sample of 10000
_________________________________________________ 
                 Run test for otphex1.32     :
       runs up; ks test for 10 p's: .053068
     runs down; ks test for 10 p's: .213577
                 Run test for otphex1.32     :
       runs up; ks test for 10 p's: .619204
     runs down; ks test for 10 p's: .388753
--------------------------------------------------------------------------------
                Results of craps test for otphex1.32     
  No. of wins:  Observed Expected
                                98794    98585.86
 Chisq=  24.41 for 20 degrees of freedom, p=  .77494
               Throws Observed Expected  Chisq     Sum
            SUMMARY  FOR otphex1.32     
                p-value for no. of wins: .824054
                p-value for throws/game: .774937
  Test completed.  File otphex1.32     
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

