 BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA=  2.0000
           otphex4.32     using bits  1 to 24 p-value=  .166629
           otphex4.32     using bits  2 to 25 p-value=  .263632
           otphex4.32     using bits  3 to 26 p-value=  .728380
           otphex4.32     using bits  4 to 27 p-value=  .481530
           otphex4.32     using bits  5 to 28 p-value=  .894755
           otphex4.32     using bits  6 to 29 p-value=  .581339
           otphex4.32     using bits  7 to 30 p-value=  .058892
           otphex4.32     using bits  8 to 31 p-value=  .481479
           otphex4.32     using bits  9 to 32 p-value=  .150794
   The 9 p-values were
        .166629   .263632   .728380   .481530   .894755
        .581339   .058892   .481479   .150794
  A KSTEST for the 9 p-values yields  .236868
--------------------------------------------------------------------------------
           OPERM5 test for file otphex4.32    
 chisquare for 99 degrees of freedom=106.805; p-value= .721759
           OPERM5 test for file otphex4.32    
 chisquare for 99 degrees of freedom=105.363; p-value= .688012
--------------------------------------------------------------------------------
    Binary rank test for otphex4.32    
         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       216     211.4   .099304     .099
        29      5122    5134.0   .028096     .127
        30     23010   23103.0   .374744     .502
        31     11652   11551.5   .873940    1.376
  chisquare= 1.376 for 3 d. of f.; p-value= .409235
    Binary rank test for otphex4.32    
         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       202     211.4   .419543     .420
        30      5133    5134.0   .000199     .420
        31     22969   23103.0   .777757    1.197
        32     11696   11551.5  1.806965    3.004
  chisquare= 3.004 for 3 d. of f.; p-value= .650581
--------------------------------------------------------------------------------
 b-rank test for bits  1 to  8 p=1-exp(-SUM/2)= .22992
 b-rank test for bits  2 to  9 p=1-exp(-SUM/2)= .77329
 b-rank test for bits  3 to 10 p=1-exp(-SUM/2)= .73351
 b-rank test for bits  4 to 11 p=1-exp(-SUM/2)= .28562
 b-rank test for bits  5 to 12 p=1-exp(-SUM/2)= .07111
 b-rank test for bits  6 to 13 p=1-exp(-SUM/2)= .86394
 b-rank test for bits  7 to 14 p=1-exp(-SUM/2)= .03006
 b-rank test for bits  8 to 15 p=1-exp(-SUM/2)= .43984
 b-rank test for bits  9 to 16 p=1-exp(-SUM/2)= .85883
 b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .21099
 b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .19911
 b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .95109
 b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .08300
 b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .32284
 b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .27694
 b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .61929
 b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .47895
 b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .79062
 b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .37863
 b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .76960
 b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .38690
 b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .31100
 b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .09509
 b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .62898
 b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .29933
   TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices
 These should be 25 uniform [0,1] random variables:
     .229924     .773287     .733510     .285623     .071105
     .863938     .030062     .439843     .858833     .210990
     .199105     .951089     .082997     .322843     .276936
     .619289     .478951     .790622     .378632     .769598
     .386897     .311002     .095086     .628978     .299332
   brank test summary for otphex4.32    
       The KS test for those 25 supposed UNI's yields
                    KS p-value= .477348
--------------------------------------------------------------------------------
  No. missing words should average  141909. with sigma=428.
 tst no  1:  142292 missing words,     .89 sigmas from mean, p-value= .81436
 tst no  2:  141796 missing words,    -.26 sigmas from mean, p-value= .39559
 tst no  3:  142519 missing words,    1.42 sigmas from mean, p-value= .92284
 tst no  4:  142171 missing words,     .61 sigmas from mean, p-value= .72953
 tst no  5:  141793 missing words,    -.27 sigmas from mean, p-value= .39289
 tst no  6:  141543 missing words,    -.86 sigmas from mean, p-value= .19602
 tst no  7:  142637 missing words,    1.70 sigmas from mean, p-value= .95545
 tst no  8:  142019 missing words,     .26 sigmas from mean, p-value= .60112
 tst no  9:  142262 missing words,     .82 sigmas from mean, p-value= .79503
 tst no 10:  141294 missing words,   -1.44 sigmas from mean, p-value= .07526
 tst no 11:  142051 missing words,     .33 sigmas from mean, p-value= .62968
 tst no 12:  141984 missing words,     .17 sigmas from mean, p-value= .56925
 tst no 13:  142822 missing words,    2.13 sigmas from mean, p-value= .98351
 tst no 14:  141800 missing words,    -.26 sigmas from mean, p-value= .39919
 tst no 15:  142221 missing words,     .73 sigmas from mean, p-value= .76676
 tst no 16:  141559 missing words,    -.82 sigmas from mean, p-value= .20653
 tst no 17:  141681 missing words,    -.53 sigmas from mean, p-value= .29685
 tst no 18:  141496 missing words,    -.97 sigmas from mean, p-value= .16709
 tst no 19:  141374 missing words,   -1.25 sigmas from mean, p-value= .10551
 tst no 20:  141934 missing words,     .06 sigmas from mean, p-value= .52298
--------------------------------------------------------------------------------
    OPSO for otphex4.32     using bits 23 to 32        142469  1.930  .9732
    OPSO for otphex4.32     using bits 22 to 31        141972   .216  .5855
    OPSO for otphex4.32     using bits 21 to 30        142147   .820  .7938
    OPSO for otphex4.32     using bits 20 to 29        141916   .023  .5092
    OPSO for otphex4.32     using bits 19 to 28        141990   .278  .6096
    OPSO for otphex4.32     using bits 18 to 27        141483 -1.470  .0708
    OPSO for otphex4.32     using bits 17 to 26        142059   .516  .6971
    OPSO for otphex4.32     using bits 16 to 25        141905  -.015  .4940
    OPSO for otphex4.32     using bits 15 to 24        142267  1.233  .8913
    OPSO for otphex4.32     using bits 14 to 23        141446 -1.598  .0551
    OPSO for otphex4.32     using bits 13 to 22        141977   .233  .5923
    OPSO for otphex4.32     using bits 12 to 21        141586 -1.115  .1324
    OPSO for otphex4.32     using bits 11 to 20        142160   .864  .8063
    OPSO for otphex4.32     using bits 10 to 19        142201  1.006  .8427
    OPSO for otphex4.32     using bits  9 to 18        141643  -.918  .1792
    OPSO for otphex4.32     using bits  8 to 17        142001   .316  .6240
    OPSO for otphex4.32     using bits  7 to 16        142221  1.075  .8588
    OPSO for otphex4.32     using bits  6 to 15        141996   .299  .6175
    OPSO for otphex4.32     using bits  5 to 14        142231  1.109  .8663
    OPSO for otphex4.32     using bits  4 to 13        142056   .506  .6935
    OPSO for otphex4.32     using bits  3 to 12        142022   .389  .6512
    OPSO for otphex4.32     using bits  2 to 11        141490 -1.446  .0741
    OPSO for otphex4.32     using bits  1 to 10        141683  -.780  .2176
    OQSO for otphex4.32     using bits 28 to 32        141387 -1.771  .0383
    OQSO for otphex4.32     using bits 27 to 31        141623  -.971  .1659
    OQSO for otphex4.32     using bits 26 to 30        142312  1.365  .9139
    OQSO for otphex4.32     using bits 25 to 29        141973   .216  .5854
    OQSO for otphex4.32     using bits 24 to 28        141866  -.147  .4416
    OQSO for otphex4.32     using bits 23 to 27        141787  -.415  .3392
    OQSO for otphex4.32     using bits 22 to 26        141621  -.977  .1642
    OQSO for otphex4.32     using bits 21 to 25        142102   .653  .7432
    OQSO for otphex4.32     using bits 20 to 24        141574 -1.137  .1278
    OQSO for otphex4.32     using bits 19 to 23        141985   .257  .6012
    OQSO for otphex4.32     using bits 18 to 22        141714  -.662  .2539
    OQSO for otphex4.32     using bits 17 to 21        141735  -.591  .2773
    OQSO for otphex4.32     using bits 16 to 20        142707  2.704  .9966
    OQSO for otphex4.32     using bits 15 to 19        141700  -.710  .2390
    OQSO for otphex4.32     using bits 14 to 18        141611 -1.011  .1559
    OQSO for otphex4.32     using bits 13 to 17        142095   .629  .7355
    OQSO for otphex4.32     using bits 12 to 16        141831  -.266  .3953
    OQSO for otphex4.32     using bits 11 to 15        141457 -1.533  .0626
    OQSO for otphex4.32     using bits 10 to 14        141198 -2.411  .0079
    OQSO for otphex4.32     using bits  9 to 13        141843  -.225  .4111
    OQSO for otphex4.32     using bits  8 to 12        141348 -1.903  .0285
    OQSO for otphex4.32     using bits  7 to 11        141612 -1.008  .1568
    OQSO for otphex4.32     using bits  6 to 10        141723  -.632  .2638
    OQSO for otphex4.32     using bits  5 to  9        141566 -1.164  .1222
    OQSO for otphex4.32     using bits  4 to  8        142119   .711  .7614
    OQSO for otphex4.32     using bits  3 to  7        141906  -.011  .4955
    OQSO for otphex4.32     using bits  2 to  6        142361  1.531  .9371
    OQSO for otphex4.32     using bits  1 to  5        142141   .785  .7839
     DNA for otphex4.32     using bits 31 to 32        142085   .518  .6978
     DNA for otphex4.32     using bits 30 to 31        141916   .020  .5079
     DNA for otphex4.32     using bits 29 to 30        141653  -.756  .2248
     DNA for otphex4.32     using bits 28 to 29        142105   .577  .7181
     DNA for otphex4.32     using bits 27 to 28        142096   .551  .7091
     DNA for otphex4.32     using bits 26 to 27        142113   .601  .7260
     DNA for otphex4.32     using bits 25 to 26        142044   .397  .6544
     DNA for otphex4.32     using bits 24 to 25        141974   .191  .5756
     DNA for otphex4.32     using bits 23 to 24        141428 -1.420  .0778
     DNA for otphex4.32     using bits 22 to 23        142015   .312  .6224
     DNA for otphex4.32     using bits 21 to 22        142313  1.191  .8831
     DNA for otphex4.32     using bits 20 to 21        141646  -.777  .2186
     DNA for otphex4.32     using bits 19 to 20        141614  -.871  .1918
     DNA for otphex4.32     using bits 18 to 19        141773  -.402  .3438
     DNA for otphex4.32     using bits 17 to 18        142139   .677  .7510
     DNA for otphex4.32     using bits 16 to 17        141939   .088  .5349
     DNA for otphex4.32     using bits 15 to 16        141758  -.446  .3277
     DNA for otphex4.32     using bits 14 to 15        141827  -.243  .4041
     DNA for otphex4.32     using bits 13 to 14        141619  -.856  .1959
     DNA for otphex4.32     using bits 12 to 13        141979   .206  .5814
     DNA for otphex4.32     using bits 11 to 12        142567  1.940  .9738
     DNA for otphex4.32     using bits 10 to 11        141245 -1.960  .0250
     DNA for otphex4.32     using bits  9 to 10        142123   .630  .7358
     DNA for otphex4.32     using bits  8 to  9        141528 -1.125  .1303
     DNA for otphex4.32     using bits  7 to  8        141752  -.464  .3213
     DNA for otphex4.32     using bits  6 to  7        141510 -1.178  .1194
     DNA for otphex4.32     using bits  5 to  6        142045   .400  .6555
     DNA for otphex4.32     using bits  4 to  5        141812  -.287  .3870
     DNA for otphex4.32     using bits  3 to  4        141733  -.520  .3015
     DNA for otphex4.32     using bits  2 to  3        141698  -.623  .2665
     DNA for otphex4.32     using bits  1 to  2        141623  -.845  .1992
--------------------------------------------------------------------------------
   Test results for otphex4.32    
 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 otphex4.32      2395.43     -1.479      .069595
 byte stream for otphex4.32      2385.53     -1.619      .052744
--------------------------------------------------------------------------------
 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  2558.00       .820      .793953
           bits  2 to  9  2445.48      -.771      .220334
           bits  3 to 10  2610.75      1.566      .941352
           bits  4 to 11  2444.00      -.792      .214174
           bits  5 to 12  2585.10      1.204      .885610
           bits  6 to 13  2507.66       .108      .543114
           bits  7 to 14  2564.83       .917      .820390
           bits  8 to 15  2330.36     -2.399      .008217
           bits  9 to 16  2593.79      1.326      .907635
           bits 10 to 17  2583.24      1.177      .880447
           bits 11 to 18  2514.65       .207      .582068
           bits 12 to 19  2512.77       .181      .571641
           bits 13 to 20  2391.48     -1.535      .062423
           bits 14 to 21  2521.40       .303      .618902
           bits 15 to 22  2541.56       .588      .721657
           bits 16 to 23  2493.92      -.086      .465724
           bits 17 to 24  2571.38      1.009      .843628
           bits 18 to 25  2482.69      -.245      .403278
           bits 19 to 26  2495.36      -.066      .473828
           bits 20 to 27  2477.20      -.322      .373539
           bits 21 to 28  2504.00       .057      .522540
           bits 22 to 29  2550.34       .712      .761748
           bits 23 to 30  2443.98      -.792      .214096
           bits 24 to 31  2470.32      -.420      .337339
           bits 25 to 32  2684.52      2.609      .995466
--------------------------------------------------------------------------------
           CDPARK: result of ten tests on file otphex4.32    
            Of 12,000 tries, the average no. of successes
                 should be 3523 with sigma=21.9
            Successes: 3561    z-score:  1.735 p-value: .958644
            Successes: 3503    z-score:  -.913 p-value: .180558
            Successes: 3537    z-score:   .639 p-value: .738676
            Successes: 3508    z-score:  -.685 p-value: .246694
            Successes: 3525    z-score:   .091 p-value: .536382
            Successes: 3533    z-score:   .457 p-value: .676028
            Successes: 3521    z-score:  -.091 p-value: .463618
            Successes: 3490    z-score: -1.507 p-value: .065925
            Successes: 3524    z-score:   .046 p-value: .518210
            Successes: 3523    z-score:   .000 p-value: .500000
 
           square size   avg. no.  parked   sample sigma
             100.            3522.500       18.616
            KSTEST for the above 10: p=  .067808
--------------------------------------------------------------------------------
               This is the MINIMUM DISTANCE test
              for random integers in the file otphex4.32    
     Sample no.    d^2     avg     equiv uni            
           5    1.5904    .7258     .797780
          10     .3816   1.6627     .318563
          15    1.3075   1.5651     .731276
          20     .2232   1.2532     .200977
          25     .2245   1.0588     .202014
          30    1.9107   1.1522     .853432
          35    2.1607   1.0958     .885996
          40    3.5528   1.1867     .971864
          45    2.5264   1.2699     .921061
          50     .6585   1.2283     .484060
          55     .2181   1.2000     .196876
          60     .1367   1.3006     .128409
          65     .8907   1.2839     .591473
          70     .1335   1.2764     .125529
          75     .5391   1.2707     .418320
          80     .6589   1.2454     .484307
          85     .4815   1.2545     .383621
          90     .6347   1.2241     .471588
          95    2.5690   1.2202     .924371
         100    1.0763   1.2182     .660996
     MINIMUM DISTANCE TEST for otphex4.32    
          Result of KS test on 20 transformed mindist^2's:
                                  p-value= .846813
--------------------------------------------------------------------------------
               The 3DSPHERES test for file otphex4.32    
 sample no:  1     r^3=  10.027     p-value= .28411
 sample no:  2     r^3=  28.870     p-value= .61800
 sample no:  3     r^3=  40.022     p-value= .73659
 sample no:  4     r^3=   5.993     p-value= .18109
 sample no:  5     r^3=  80.763     p-value= .93226
 sample no:  6     r^3=  15.165     p-value= .39679
 sample no:  7     r^3=  40.945     p-value= .74458
 sample no:  8     r^3=  16.510     p-value= .42325
 sample no:  9     r^3=  48.430     p-value= .80098
 sample no: 10     r^3=  42.378     p-value= .75649
 sample no: 11     r^3=  30.493     p-value= .63811
 sample no: 12     r^3=  66.479     p-value= .89095
 sample no: 13     r^3=    .082     p-value= .00273
 sample no: 14     r^3=   9.620     p-value= .27433
 sample no: 15     r^3=  35.894     p-value= .69774
 sample no: 16     r^3=  63.289     p-value= .87872
 sample no: 17     r^3=  48.327     p-value= .80029
 sample no: 18     r^3=  13.958     p-value= .37203
 sample no: 19     r^3=   9.120     p-value= .26214
 sample no: 20     r^3=  26.264     p-value= .58333
       3DSPHERES test for file otphex4.32          p-value= .595923
--------------------------------------------------------------------------------
            RESULTS OF SQUEEZE TEST FOR otphex4.32    
         Table of standardized frequency counts
     ( (obs-exp)/sqrt(exp) )^2
        for j taking values <=6,7,8,...,47,>=48:
      .6      .1     1.1     -.7    -1.3     -.2
     1.3      .3      .2     -.2     -.4     -.5
     -.5     2.1     -.5     -.7     -.6     1.6
    -1.4     1.3     -.1    -1.7     1.7      .7
      .4     -.8     -.2    -1.2    -1.6     -.7
     1.2      .3     -.2    -1.5     1.3     2.2
      .3      .8     -.8     -.1     -.6      .0
    -1.1
           Chi-square with 42 degrees of freedom: 43.063
              z-score=   .116  p-value= .574445
______________________________________________________________
--------------------------------------------------------------------------------
                Test no.  1      p-value  .884899
                Test no.  2      p-value  .157794
                Test no.  3      p-value  .319734
                Test no.  4      p-value  .217675
                Test no.  5      p-value  .266583
                Test no.  6      p-value  .340932
                Test no.  7      p-value  .033768
                Test no.  8      p-value  .881949
                Test no.  9      p-value  .205209
                Test no. 10      p-value  .100838
   Results of the OSUM test for otphex4.32    
        KSTEST on the above 10 p-values:  .920453
--------------------------------------------------------------------------------
           The RUNS test for file otphex4.32    
     Up and down runs in a sample of 10000
_________________________________________________ 
                 Run test for otphex4.32    :
       runs up; ks test for 10 p's: .169287
     runs down; ks test for 10 p's: .303356
                 Run test for otphex4.32    :
       runs up; ks test for 10 p's: .825098
     runs down; ks test for 10 p's: .611329
--------------------------------------------------------------------------------
                Results of craps test for otphex4.32    
  No. of wins:  Observed Expected
                                98757    98585.86
 Chisq=  17.79 for 20 degrees of freedom, p=  .39899
               Throws Observed Expected  Chisq     Sum
            SUMMARY  FOR otphex4.32    
                p-value for no. of wins: .777995
                p-value for throws/game: .398994
  Test completed.  File otphex4.32    
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
