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For all tests, enter 15 1`s: 111111111111111 For, say, tests 1,3,7 and 14, enter 101000100000010 HERE ARE YOUR CHOICES: 1 Birthday Spacings 2 Overlapping Permutations 3 Ranks of 31x31 and 32x32 matrices 4 Ranks of 6x8 Matrices 5 Monkey Tests on 20-bit Words 6 Monkey Tests OPSO,OQSO,DNA 7 Count the 1`s in a Stream of Bytes 8 Count the 1`s in Specific Bytes 9 Parking Lot Test 10 Minimum Distance Test 11 Random Spheres Test 12 The Sqeeze Test 13 Overlapping Sums Test 14 Runs Test 15 The Craps Test Enter your choices, 1`s yes, 0`s no. using 15 columns:123456789012345 THE OVERLAPPING 20-tuples BITSTREAM TEST, 20 BITS PER WORD, 2^21 words. This test samples the bitstream 20 times.0Ay4CA/?=(B/?B0\E33A A?6@ER~?/?>?;@D@K@@@0@@tCC{C test for generator Output: No. missing words (mw), equiv normal variate (z), p-value (p) mw z p0A Results for COUNT-THE-1's in successive bytes: Results fo COUNT-THE-1's in successive bytes:C@E Results for COUNT-THE 1's in specified bytes: Results for COUNT-THE-1's in specified bytes:;@EPG@operm5d.ataDB >M duplicate number number spacings observed expected :::::::::::::::::::::::::::::::::::::::::@@׳]0@B< #<@靿AfK=?@˺.T80?;k?p9{ÿ ?<?8 A A??@@@L?fff?BL= #<AHz?p}?=?@࿮dg?c>A?HBI@5?I ? @*B @@?8?1?c@d??1ZGU?(a78)(a25)(a)(15i1)( Results of DIEHARD battery of tests sent to file ,a15)(a78)( No. missing words should average,f9.0, with sigma=,f4.0,/,----------------------------------- ---------------)( BITSTREAM test results for,a15)( tst no ,i2,: ,i7, missing words, ,f7.2, sigmas from mean, p-value=,f7.5)(/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,/)Imm(a78)( The 3DSPHERES test for file ,a15)( sample no: ,i2,4x, r^3= ,f7.3,4x, p-value=,f7.5)( A KS test is applied to those 20 p-values.,/,---------------------------------------------------------)(6x, 3DSPHERES test for file ,a15, p-value=,f8.6,/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,/)TTTTZZ66q=A(gB=/CCzDqE EF=TFУF=FaGJKGHvuG/GAGIGG 4GGyGOUG0G( GFWFjpF*FE{E)SEE{̫DlTDD{TCc3CzB= jBBq=AA)\3A(a78)( RESULTS OF SQUEEZE TEST FOR ,a15)( Table of standardized frequency counts,/, ( (obs-exp)/sqrt(exp) )^2,/, for j taking values <=6,7,8,...,47,>=48:)(6f8.1)(8x, Chi-square with 42 degrees of freedom:,f7.3)(8x, z-score=,f7.3, p-value=,f8.6,/,______________________________________________________________)(/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,/)ttttzz77??uu(a78)(10x, CDPARK: result of ten tests on file ,a15,/,10x, Of 12,000 tries, the average no. of successes,/,15x, should be 3523 with sigma=21.9)(10x, Successes:,i5, z-score:,f7.3, p-value:,f8.6)(10x, square size avg. no. parked sample sigma,/,10x,f7.0,f20.3,f13.3)( KSTEST for the above 10: p= ,f8.6)(/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,/)ddddjj::(a78)( This is the MINIMUM DISTANCE test,/, for random integers in the file ,a15,/,4x, Sample no. d^2 avg equiv uni )(i12,f10.4,f9.4,f12.6)( MINIMUM DISTANCE TEST for ,a15)(10x,Result of KS test on 20 transformed mindist^2's:)(10x, p-value=,f8.6)(/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ ,/)$$$$**JJxx(a78)( The RUNS test for file ,a15,/, Up and down runs in a sample of 10000,/,_________________________________________________ )(15x Run test for ,a15,:)(4x, runs up; ks test for 10 p's:,f8.6)(4x, runs down; ks test for 10 p's:,f8.6)(/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,/)&&3ES FbFTFFGVF[ G TGoGF0GGG7GFYGrGG5H(H(a78)(15x, Results of craps test for ,a15,/, No. of wins: Observed Expected)(15x, ,i12,f12.2)(15x,i8,= No. of wins, z-score=,f6.3, pvalue=,f7.5,/, Analysis of Throws-per-Game:)( Chisq=,f7.2, for 20 degrees of freedom, p=,f8.5,/,15x,Throws Observed Expected Chisq Sum)(i19,i9,f11.1,f8.3,f9.3)( SUMMARY FOR ,a15)(15x, p-value for no. of wins:,f8.6)(15x, p-value for throws/game:,f8.6)(/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,/)    ``}}@@YY{{OPSOOQSO DNACCC(a78)(a8, for ,a15, using bits ,i2, to ,i2,i14,f7.3,f7.4)(/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,/)%8F8%(a78)( Test results for ,a15)( Chi-square with 5^5-5^4=2500 d.of f. for sample size:,i7,/,31x,chisquare equiv normal p-value)( byte stream for ,a15,f9.2,f11.3,f13.6)(/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,/)          9 9 (i12,i3,4i1) %8F8%(a78)( Test results for ,a15)( Chi-square with 5^5-5^4=2500 d.of f. for sample size:,i7,/,9x, chisquare equiv normal p value)( bits ,i2, to ,i2,f9.2,f11.3,f13.6)(/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,/)^^ r<=4 r =5 r =6 4⤩8bE?(a78)( Binary Rank Test for ,a15)( Rank of a 6x8 binary matrix,,/, rows formed from eight bits of the RNG ,a15)( b-rank test for bits ,i2, to ,i2)(15x, OBSERVED EXPECTED (O-E)^2/E SUM)(6x,a9,i12,f12.1,f12.3,f12.3)(12x, p=1-exp(-SUM/2)=,f7.5)( TEST SUMMARY, 25 tests on 100,000 random 6x8 matrices,/, These should be 25 uniform [0,1] random variables:)(5f12.6)( brank test summary for ,a15,/, The KS test for those 25 supposed UNI's yields)( KS p-value=,f8.6)(/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,/)))  4488 @ @ @ ܓ>?@n>1;(a78)( Binary rank test for ,a15)(7x, Rank test for ,i2,x,i2, binary matrices:)(7x, rows from leftmost ,i2, bits of each 32-bit integer)( rank observed expected (o-e)^2/e sum)(2i10,f10.1,f10.6,f9.3)( chisquare=,f6.3, for 3 d. of f.; p-value=,f8.6,/,--------------------------------------------------------------)(/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,/)00ffii @ @ @ (8i10)(a78)( OPERM5 test for file ,a15,/, For a sample of 1,000,000 consecutive 5-tuples,)( chisquare for 99 degrees of freedom=,f7.3,; p-value=,f8.6)++'&%$)(6789:;104523*+,-./! #"  (a78)( BIRTHDAY SPACINGS TEST, M=,i4, N=2**,i2, LAMBDA=,f8.4)( Results for ,a15)(17x, For a sample of size,i4,: mean )(10x,a16, using bits ,i2, to ,i2,f8.3,f10.6)( The 9 p-values were,/,f15.6,4f10.6,/,f15.6,4f10.6)( A KSTEST for the 9 p-values yields ,f8.6)(/,$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,/)$$$**ii%%TT( ,i2, to ,i2,f13.0,f13.3)(3x,i6,f13.0,f13.3)( ,i2, to INF,f12.0,f13.3)( Chisquare with ,i2, d.o.f. = ,f8.2, p-value= ,f8.6)    6 6 :DX</<0L&=d]\='1=w-=X=`= =\=:# >>o>)>X94>\>>eH>aTR>(\>e>o>Gry>7>0L>(> ҏ>>X> >Т>ޓ>V>>ܵ>>o>?>>D>s>>>S>Ԛ>V>>>H>?\?+??) ? ?I.??%?F?l ?x? ?A ?"? %?l'?z)?h",?.?`0?F3?X5? 8?Qk:?0!1" ( ; )+$p_ :' ? 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