 BIRTHDAY SPACINGS TEST, M= 512 N=2**24 LAMBDA=  2.0000
           xr_raw_c.dat    using bits  1 to 24 p-value=  .127211
           xr_raw_c.dat    using bits  2 to 25 p-value=  .908376
           xr_raw_c.dat    using bits  3 to 26 p-value=  .901554
           xr_raw_c.dat    using bits  4 to 27 p-value=  .532792
           xr_raw_c.dat    using bits  5 to 28 p-value=  .563917
           xr_raw_c.dat    using bits  6 to 29 p-value=  .475751
           xr_raw_c.dat    using bits  7 to 30 p-value=  .331135
           xr_raw_c.dat    using bits  8 to 31 p-value=  .836316
           xr_raw_c.dat    using bits  9 to 32 p-value=  .711250
   The 9 p-values were
        .127211   .908376   .901554   .532792   .563917
        .475751   .331135   .836316   .711250
  A KSTEST for the 9 p-values yields  .467128
--------------------------------------------------------------------------------
           OPERM5 test for file xr_raw_c.dat   
 chisquare for 99 degrees of freedom=127.712; p-value= .972400
           OPERM5 test for file xr_raw_c.dat   
 chisquare for 99 degrees of freedom=149.498; p-value= .999200
--------------------------------------------------------------------------------
    Binary rank test for xr_raw_c.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       194     211.4  1.435011    1.435
        29      5090    5134.0   .377269    1.812
        30     23130   23103.0   .031445    1.844
        31     11586   11551.5   .102893    1.947
  chisquare= 1.947 for 3 d. of f.; p-value= .497916
    Binary rank test for xr_raw_c.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       233     211.4  2.203133    2.203
        30      5043    5134.0  1.613333    3.816
        31     23066   23103.0   .059406    3.876
        32     11658   11551.5   .981433    4.857
  chisquare= 4.857 for 3 d. of f.; p-value= .831216
--------------------------------------------------------------------------------
 b-rank test for bits  1 to  8 p=1-exp(-SUM/2)= .75904
 b-rank test for bits  2 to  9 p=1-exp(-SUM/2)= .00302
 b-rank test for bits  3 to 10 p=1-exp(-SUM/2)= .21312
 b-rank test for bits  4 to 11 p=1-exp(-SUM/2)= .24008
 b-rank test for bits  5 to 12 p=1-exp(-SUM/2)= .43874
 b-rank test for bits  6 to 13 p=1-exp(-SUM/2)= .91153
 b-rank test for bits  7 to 14 p=1-exp(-SUM/2)= .77963
 b-rank test for bits  8 to 15 p=1-exp(-SUM/2)= .70631
 b-rank test for bits  9 to 16 p=1-exp(-SUM/2)= .58109
 b-rank test for bits 10 to 17 p=1-exp(-SUM/2)= .54502
 b-rank test for bits 11 to 18 p=1-exp(-SUM/2)= .94943
 b-rank test for bits 12 to 19 p=1-exp(-SUM/2)= .60981
 b-rank test for bits 13 to 20 p=1-exp(-SUM/2)= .23750
 b-rank test for bits 14 to 21 p=1-exp(-SUM/2)= .07512
 b-rank test for bits 15 to 22 p=1-exp(-SUM/2)= .15584
 b-rank test for bits 16 to 23 p=1-exp(-SUM/2)= .93125
 b-rank test for bits 17 to 24 p=1-exp(-SUM/2)= .06586
 b-rank test for bits 18 to 25 p=1-exp(-SUM/2)= .16133
 b-rank test for bits 19 to 26 p=1-exp(-SUM/2)= .75103
 b-rank test for bits 20 to 27 p=1-exp(-SUM/2)= .68094
 b-rank test for bits 21 to 28 p=1-exp(-SUM/2)= .83802
 b-rank test for bits 22 to 29 p=1-exp(-SUM/2)= .23953
 b-rank test for bits 23 to 30 p=1-exp(-SUM/2)= .52808
 b-rank test for bits 24 to 31 p=1-exp(-SUM/2)= .37257
 b-rank test for bits 25 to 32 p=1-exp(-SUM/2)= .42632
   TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices
 These should be 25 uniform [0,1] random variables:
     .759037     .003025     .213125     .240079     .438744
     .911534     .779631     .706306     .581091     .545022
     .949427     .609811     .237501     .075121     .155837
     .931249     .065860     .161335     .751027     .680945
     .838019     .239527     .528083     .372566     .426315
   brank test summary for xr_raw_c.dat   
       The KS test for those 25 supposed UNI's yields
                    KS p-value= .015001
--------------------------------------------------------------------------------
  No. missing words should average  141909. with sigma=428.
 tst no  1:  142439 missing words,    1.24 sigmas from mean, p-value= .89206
 tst no  2:  142544 missing words,    1.48 sigmas from mean, p-value= .93095
 tst no  3:  142843 missing words,    2.18 sigmas from mean, p-value= .98543
 tst no  4:  141287 missing words,   -1.45 sigmas from mean, p-value= .07297
 tst no  5:  143066 missing words,    2.70 sigmas from mean, p-value= .99656
 tst no  6:  141701 missing words,    -.49 sigmas from mean, p-value= .31322
 tst no  7:  142146 missing words,     .55 sigmas from mean, p-value= .70986
 tst no  8:  141252 missing words,   -1.54 sigmas from mean, p-value= .06229
 tst no  9:  142570 missing words,    1.54 sigmas from mean, p-value= .93866
 tst no 10:  142000 missing words,     .21 sigmas from mean, p-value= .58389
 tst no 11:  141335 missing words,   -1.34 sigmas from mean, p-value= .08982
 tst no 12:  141596 missing words,    -.73 sigmas from mean, p-value= .23206
 tst no 13:  141856 missing words,    -.12 sigmas from mean, p-value= .45042
 tst no 14:  141611 missing words,    -.70 sigmas from mean, p-value= .24289
 tst no 15:  142387 missing words,    1.12 sigmas from mean, p-value= .86780
 tst no 16:  141614 missing words,    -.69 sigmas from mean, p-value= .24509
 tst no 17:  142370 missing words,    1.08 sigmas from mean, p-value= .85911
 tst no 18:  141873 missing words,    -.08 sigmas from mean, p-value= .46618
 tst no 19:  141653 missing words,    -.60 sigmas from mean, p-value= .27462
 tst no 20:  142163 missing words,     .59 sigmas from mean, p-value= .72331
--------------------------------------------------------------------------------
    OPSO for xr_raw_c.dat    using bits 23 to 32        142175   .916  .8202
    OPSO for xr_raw_c.dat    using bits 22 to 31        141540 -1.274  .1014
    OPSO for xr_raw_c.dat    using bits 21 to 30        142038   .444  .6714
    OPSO for xr_raw_c.dat    using bits 20 to 29        141758  -.522  .3009
    OPSO for xr_raw_c.dat    using bits 19 to 28        142014   .361  .6409
    OPSO for xr_raw_c.dat    using bits 18 to 27        141993   .289  .6135
    OPSO for xr_raw_c.dat    using bits 17 to 26        141919   .033  .5133
    OPSO for xr_raw_c.dat    using bits 16 to 25        142688  2.685  .9964
    OPSO for xr_raw_c.dat    using bits 15 to 24        142133   .771  .7797
    OPSO for xr_raw_c.dat    using bits 14 to 23        142365  1.571  .9419
    OPSO for xr_raw_c.dat    using bits 13 to 22        141953   .151  .5599
    OPSO for xr_raw_c.dat    using bits 12 to 21        141975   .226  .5896
    OPSO for xr_raw_c.dat    using bits 11 to 20        141505 -1.394  .0816
    OPSO for xr_raw_c.dat    using bits 10 to 19        141365 -1.877  .0303
    OPSO for xr_raw_c.dat    using bits  9 to 18        141583 -1.125  .1302
    OPSO for xr_raw_c.dat    using bits  8 to 17        142421  1.764  .9612
    OPSO for xr_raw_c.dat    using bits  7 to 16        142009   .344  .6345
    OPSO for xr_raw_c.dat    using bits  6 to 15        142144   .809  .7908
    OPSO for xr_raw_c.dat    using bits  5 to 14        142226  1.092  .8626
    OPSO for xr_raw_c.dat    using bits  4 to 13        141779  -.449  .3266
    OPSO for xr_raw_c.dat    using bits  3 to 12        142198   .995  .8402
    OPSO for xr_raw_c.dat    using bits  2 to 11        142464  1.913  .9721
    OPSO for xr_raw_c.dat    using bits  1 to 10        141681  -.787  .2155
    OQSO for xr_raw_c.dat    using bits 28 to 32        141968   .199  .5788
    OQSO for xr_raw_c.dat    using bits 27 to 31        141975   .223  .5881
    OQSO for xr_raw_c.dat    using bits 26 to 30        141927   .060  .5239
    OQSO for xr_raw_c.dat    using bits 25 to 29        142144   .795  .7868
    OQSO for xr_raw_c.dat    using bits 24 to 28        141734  -.594  .2761
    OQSO for xr_raw_c.dat    using bits 23 to 27        142480  1.934  .9735
    OQSO for xr_raw_c.dat    using bits 22 to 26        142109   .677  .7508
    OQSO for xr_raw_c.dat    using bits 21 to 25        142195   .968  .8336
    OQSO for xr_raw_c.dat    using bits 20 to 24        142744  2.829  .9977
    OQSO for xr_raw_c.dat    using bits 19 to 23        141958   .165  .5655
    OQSO for xr_raw_c.dat    using bits 18 to 22        142097   .636  .7377
    OQSO for xr_raw_c.dat    using bits 17 to 21        141881  -.096  .4617
    OQSO for xr_raw_c.dat    using bits 16 to 20        142111   .684  .7529
    OQSO for xr_raw_c.dat    using bits 15 to 19        142294  1.304  .9039
    OQSO for xr_raw_c.dat    using bits 14 to 18        142460  1.867  .9690
    OQSO for xr_raw_c.dat    using bits 13 to 17        142459  1.863  .9688
    OQSO for xr_raw_c.dat    using bits 12 to 16        142077   .568  .7151
    OQSO for xr_raw_c.dat    using bits 11 to 15        142181   .921  .8215
    OQSO for xr_raw_c.dat    using bits 10 to 14        141482 -1.449  .0737
    OQSO for xr_raw_c.dat    using bits  9 to 13        141686  -.757  .2245
    OQSO for xr_raw_c.dat    using bits  8 to 12        141583 -1.106  .1343
    OQSO for xr_raw_c.dat    using bits  7 to 11        141252 -2.228  .0129
    OQSO for xr_raw_c.dat    using bits  6 to 10        141863  -.157  .4376
    OQSO for xr_raw_c.dat    using bits  5 to  9        141709  -.679  .2485
    OQSO for xr_raw_c.dat    using bits  4 to  8        142121   .718  .7635
    OQSO for xr_raw_c.dat    using bits  3 to  7        142006   .328  .6284
    OQSO for xr_raw_c.dat    using bits  2 to  6        141829  -.272  .3927
    OQSO for xr_raw_c.dat    using bits  1 to  5        142192   .958  .8310
     DNA for xr_raw_c.dat    using bits 31 to 32        141980   .208  .5826
     DNA for xr_raw_c.dat    using bits 30 to 31        141804  -.311  .3780
     DNA for xr_raw_c.dat    using bits 29 to 30        141632  -.818  .2067
     DNA for xr_raw_c.dat    using bits 28 to 29        141336 -1.691  .0454
     DNA for xr_raw_c.dat    using bits 27 to 28        141803  -.314  .3769
     DNA for xr_raw_c.dat    using bits 26 to 27        141905  -.013  .4949
     DNA for xr_raw_c.dat    using bits 25 to 26        142048   .409  .6588
     DNA for xr_raw_c.dat    using bits 24 to 25        141745  -.485  .3139
     DNA for xr_raw_c.dat    using bits 23 to 24        141824  -.252  .4006
     DNA for xr_raw_c.dat    using bits 22 to 23        141883  -.078  .4690
     DNA for xr_raw_c.dat    using bits 21 to 22        142227   .937  .8256
     DNA for xr_raw_c.dat    using bits 20 to 21        141164 -2.199  .0140
     DNA for xr_raw_c.dat    using bits 19 to 20        142520  1.801  .9642
     DNA for xr_raw_c.dat    using bits 18 to 19        142283  1.102  .8648
     DNA for xr_raw_c.dat    using bits 17 to 18        141517 -1.157  .1236
     DNA for xr_raw_c.dat    using bits 16 to 17        141855  -.160  .4363
     DNA for xr_raw_c.dat    using bits 15 to 16        141755  -.455  .3245
     DNA for xr_raw_c.dat    using bits 14 to 15        141868  -.122  .4515
     DNA for xr_raw_c.dat    using bits 13 to 14        141954   .132  .5524
     DNA for xr_raw_c.dat    using bits 12 to 13        141796  -.334  .3691
     DNA for xr_raw_c.dat    using bits 11 to 12        141542 -1.084  .1393
     DNA for xr_raw_c.dat    using bits 10 to 11        142636  2.144  .9840
     DNA for xr_raw_c.dat    using bits  9 to 10        142412  1.483  .9309
     DNA for xr_raw_c.dat    using bits  8 to  9        142317  1.203  .8854
     DNA for xr_raw_c.dat    using bits  7 to  8        142029   .353  .6380
     DNA for xr_raw_c.dat    using bits  6 to  7        141464 -1.314  .0945
     DNA for xr_raw_c.dat    using bits  5 to  6        142164   .751  .7737
     DNA for xr_raw_c.dat    using bits  4 to  5        142379  1.385  .9170
     DNA for xr_raw_c.dat    using bits  3 to  4        141372 -1.585  .0565
     DNA for xr_raw_c.dat    using bits  2 to  3        142240   .975  .8353
     DNA for xr_raw_c.dat    using bits  1 to  2        141741  -.497  .3098
--------------------------------------------------------------------------------
   Test results for xr_raw_c.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_c.dat     2496.11      -.055      .478064
 byte stream for xr_raw_c.dat     2476.55      -.332      .370106
--------------------------------------------------------------------------------
 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  2428.78     -1.007      .156932
           bits  2 to  9  2424.56     -1.067      .143006
           bits  3 to 10  2500.35       .005      .501977
           bits  4 to 11  2499.01      -.014      .494402
           bits  5 to 12  2607.27      1.517      .935362
           bits  6 to 13  2561.62       .871      .808226
           bits  7 to 14  2764.71      3.744      .999909
           bits  8 to 15  2443.36      -.801      .211571
           bits  9 to 16  2506.30       .089      .535494
           bits 10 to 17  2559.83       .846      .801261
           bits 11 to 18  2403.58     -1.364      .086351
           bits 12 to 19  2618.38      1.674      .952948
           bits 13 to 20  2633.64      1.890      .970616
           bits 14 to 21  2464.68      -.499      .308724
           bits 15 to 22  2418.70     -1.150      .125134
           bits 16 to 23  2600.23      1.418      .921833
           bits 17 to 24  2546.34       .655      .743873
           bits 18 to 25  2360.83     -1.968      .024527
           bits 19 to 26  2514.16       .200      .579340
           bits 20 to 27  2568.64       .971      .834139
           bits 21 to 28  2578.01      1.103      .865033
           bits 22 to 29  2659.26      2.252      .987846
           bits 23 to 30  2549.96       .707      .760068
           bits 24 to 31  2441.28      -.830      .203164
           bits 25 to 32  2543.16       .610      .729183
--------------------------------------------------------------------------------
           CDPARK: result of ten tests on file xr_raw_c.dat   
            Of 12,000 tries, the average no. of successes
                 should be 3523 with sigma=21.9
            Successes: 3510    z-score:  -.594 p-value: .276387
            Successes: 3524    z-score:   .046 p-value: .518210
            Successes: 3516    z-score:  -.320 p-value: .374623
            Successes: 3518    z-score:  -.228 p-value: .409702
            Successes: 3541    z-score:   .822 p-value: .794438
            Successes: 3517    z-score:  -.274 p-value: .392053
            Successes: 3498    z-score: -1.142 p-value: .126820
            Successes: 3505    z-score:  -.822 p-value: .205562
            Successes: 3539    z-score:   .731 p-value: .767486
            Successes: 3516    z-score:  -.320 p-value: .374623
 
           square size   avg. no.  parked   sample sigma
             100.            3518.400       12.831
            KSTEST for the above 10: p=  .641091
--------------------------------------------------------------------------------
               This is the MINIMUM DISTANCE test
              for random integers in the file xr_raw_c.dat   
     Sample no.    d^2     avg     equiv uni            
           5     .1900    .3714     .173819
          10     .1282    .7778     .120908
          15     .0254    .6933     .025175
          20    3.1258    .8903     .956783
          25     .5138    .8589     .403345
          30    1.6233    .9605     .804352
          35     .5569    .9044     .428638
          40     .4102    .9120     .337879
          45     .9782    .8854     .625863
          50     .1676    .9039     .155045
          55     .0152    .8842     .015126
          60     .8072    .8713     .555711
          65    1.1956    .8810     .699290
          70     .4037    .8788     .333492
          75    1.5356    .8769     .786319
          80     .7669    .8877     .537348
          85     .3885    .9053     .323270
          90     .4107    .8998     .338156
          95     .6414    .8791     .475119
         100    1.3619    .9023     .745566
     MINIMUM DISTANCE TEST for xr_raw_c.dat   
          Result of KS test on 20 transformed mindist^2's:
                                  p-value= .175543
--------------------------------------------------------------------------------
               The 3DSPHERES test for file xr_raw_c.dat   
 sample no:  1     r^3=  76.137     p-value= .92097
 sample no:  2     r^3=  21.059     p-value= .50439
 sample no:  3     r^3=  29.376     p-value= .62439
 sample no:  4     r^3=  16.725     p-value= .42735
 sample no:  5     r^3=   2.376     p-value= .07615
 sample no:  6     r^3=   8.944     p-value= .25780
 sample no:  7     r^3=  26.672     p-value= .58895
 sample no:  8     r^3=  13.800     p-value= .36871
 sample no:  9     r^3=  19.112     p-value= .47116
 sample no: 10     r^3=  38.524     p-value= .72311
 sample no: 11     r^3=  66.596     p-value= .89138
 sample no: 12     r^3=  38.399     p-value= .72195
 sample no: 13     r^3=  49.155     p-value= .80573
 sample no: 14     r^3=   2.621     p-value= .08367
 sample no: 15     r^3=   2.687     p-value= .08567
 sample no: 16     r^3= 108.076     p-value= .97275
 sample no: 17     r^3=  29.220     p-value= .62244
 sample no: 18     r^3=  28.164     p-value= .60891
 sample no: 19     r^3=   3.538     p-value= .11124
 sample no: 20     r^3=  10.048     p-value= .28461
       3DSPHERES test for file xr_raw_c.dat         p-value= .023609
--------------------------------------------------------------------------------
            RESULTS OF SQUEEZE TEST FOR xr_raw_c.dat   
         Table of standardized frequency counts
     ( (obs-exp)/sqrt(exp) )^2
        for j taking values <=6,7,8,...,47,>=48:
     -.8     -.7     -.4      .5    -1.0    -1.8
     -.3      .4     -.2      .4    -1.9      .6
      .1     -.8    -1.2     3.2     1.0      .4
    -2.8      .2      .1     1.2     1.3    -1.7
     1.2    -1.1     -.3     -.9     -.5      .4
      .1      .4      .6      .1      .1     -.1
     -.5     -.7      .9    -1.3      .1     1.0
      .8
           Chi-square with 42 degrees of freedom: 46.834
              z-score=   .527  p-value= .719422
______________________________________________________________
--------------------------------------------------------------------------------
                Test no.  1      p-value  .197562
                Test no.  2      p-value  .112850
                Test no.  3      p-value  .047598
                Test no.  4      p-value  .674972
                Test no.  5      p-value  .801555
                Test no.  6      p-value  .074433
                Test no.  7      p-value  .945984
                Test no.  8      p-value  .423158
                Test no.  9      p-value  .982197
                Test no. 10      p-value  .117641
   Results of the OSUM test for xr_raw_c.dat   
        KSTEST on the above 10 p-values:  .742643
--------------------------------------------------------------------------------
           The RUNS test for file xr_raw_c.dat   
     Up and down runs in a sample of 10000
_________________________________________________ 
                 Run test for xr_raw_c.dat   :
       runs up; ks test for 10 p's: .393727
     runs down; ks test for 10 p's: .657117
                 Run test for xr_raw_c.dat   :
       runs up; ks test for 10 p's: .738724
     runs down; ks test for 10 p's: .044991
--------------------------------------------------------------------------------
                Results of craps test for xr_raw_c.dat   
  No. of wins:  Observed Expected
                                98536    98585.86
 Chisq=  21.26 for 20 degrees of freedom, p=  .61800
               Throws Observed Expected  Chisq     Sum
            SUMMARY  FOR xr_raw_c.dat   
                p-value for no. of wins: .411768
                p-value for throws/game: .618000
  Test completed.  File xr_raw_c.dat   
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
