Results of Random-Number-Generator-Tests

Test run at 2004-03-11

minstd rand
Confidence Level	0.01	0.05	0.1	0.9	0.95	0.99
Iterative Chi-Square-Uniformity-Test	Passed	Passed	Passed	Passed	Passed	Passed
Iterative Chi-Square-Uniformity-Test	Passed	Passed	Passed	Passed	Passed	Passed
Iterative Serial Test	Passed	Passed	Passed	Passed	Passed	Passed
Iterative Serial Test	Passed	Passed	1 of 4 Failed	Passed	Passed	Passed
Iterative Serial Test	Passed	1 of 4 Failed	1 of 4 Failed	3 of 4 Failed	3 of 4 Failed	2 of 4 Failed
Iterative Gap-Test	Passed	1 of 4 Failed	1 of 4 Failed	Passed	Passed	Passed
Iterative Gap-Test	Passed	Passed	Passed	Passed	Passed	Passed
Iterative Gap-Test	Passed	Passed	Passed	Passed	Passed	Passed
Iterative Maximum-of-t Test	1 of 4 Failed	1 of 4 Failed	2 of 4 Failed	Passed	Passed	Passed
Iterative Maximum-of-t Test	Passed	Passed	Passed	Passed	Passed	Passed
Collision-Test (Hash-Test)	Passed	1 of 4 Failed	3 of 4 Failed	Passed	Passed	Passed
Collision-Test (Hash-Test)	Passed	2 of 4 Failed	4 of 4 Failed	Passed	Passed	Passed
Collision-Test (Hash-Test)	1 of 4 Failed	2 of 4 Failed	4 of 4 Failed	Passed	Passed	Passed

mt19937, Mersenne Twister
Confidence Level	0.01	0.05	0.1	0.9	0.95	0.99
Iterative Chi-Square-Uniformity-Test	Passed	Passed	1 of 4 Failed	3 of 4 Failed	1 of 4 Failed	1 of 4 Failed
Iterative Chi-Square-Uniformity-Test	Passed	2 of 4 Failed	2 of 4 Failed	2 of 4 Failed	1 of 4 Failed	Passed
Iterative Serial Test	1 of 4 Failed	1 of 4 Failed	1 of 4 Failed	1 of 4 Failed	Passed	Passed
Iterative Serial Test	Passed	Passed	Passed	Passed	Passed	Passed
Iterative Serial Test	Passed	Passed	Passed	1 of 4 Failed	Passed	Passed
Iterative Gap-Test	Passed	Passed	Passed	1 of 4 Failed	Passed	Passed
Iterative Gap-Test	Passed	Passed	Passed	Passed	Passed	Passed
Iterative Gap-Test	Passed	1 of 4 Failed	1 of 4 Failed	Passed	Passed	Passed
Iterative Maximum-of-t Test	2 of 4 Failed	2 of 4 Failed	3 of 4 Failed	Passed	Passed	Passed
Iterative Maximum-of-t Test	Passed	Passed	Passed	Passed	Passed	Passed
Collision-Test (Hash-Test)	2 of 4 Failed	3 of 4 Failed	4 of 4 Failed	Passed	Passed	Passed
Collision-Test (Hash-Test)	Passed	Passed	1 of 4 Failed	Passed	Passed	Passed
Collision-Test (Hash-Test)	2 of 4 Failed	4 of 4 Failed	4 of 4 Failed	Passed	Passed	Passed

Lagged Fibonacci, 23209
Confidence Level	0.01	0.05	0.1	0.9	0.95	0.99
Iterative Chi-Square-Uniformity-Test	Passed	1 of 4 Failed	1 of 4 Failed	Passed	Passed	Passed
Iterative Chi-Square-Uniformity-Test	Passed	Passed	Passed	1 of 4 Failed	1 of 4 Failed	Passed
Iterative Serial Test	Passed	Passed	Passed	Passed	Passed	Passed
Iterative Serial Test	Passed	Passed	Passed	Passed	Passed	Passed
Iterative Serial Test	Passed	Passed	Passed	1 of 4 Failed	Passed	Passed
Iterative Gap-Test	Passed	1 of 4 Failed	2 of 4 Failed	1 of 4 Failed	Passed	Passed
Iterative Gap-Test	1 of 4 Failed	2 of 4 Failed	2 of 4 Failed	1 of 4 Failed	1 of 4 Failed	Passed
Iterative Gap-Test	Passed	Passed	1 of 4 Failed	Passed	Passed	Passed
Iterative Maximum-of-t Test	Passed	1 of 4 Failed	3 of 4 Failed	Passed	Passed	Passed
Iterative Maximum-of-t Test	Passed	Passed	Passed	1 of 4 Failed	Passed	Passed
Collision-Test (Hash-Test)	1 of 4 Failed	1 of 4 Failed	3 of 4 Failed	Passed	Passed	Passed
Collision-Test (Hash-Test)	2 of 4 Failed	3 of 4 Failed	3 of 4 Failed	Passed	Passed	Passed
Collision-Test (Hash-Test)	1 of 4 Failed	2 of 4 Failed	2 of 4 Failed	Passed	Passed	Passed

Lagged Fibonacci, 44497
Confidence Level	0.01	0.05	0.1	0.9	0.95	0.99
Iterative Chi-Square-Uniformity-Test	Passed	Passed	Passed	Passed	Passed	Passed
Iterative Chi-Square-Uniformity-Test	Passed	Passed	2 of 4 Failed	2 of 4 Failed	Passed	Passed
Iterative Serial Test	Passed	Passed	Passed	Passed	Passed	Passed
Iterative Serial Test	Passed	Passed	2 of 4 Failed	2 of 4 Failed	1 of 4 Failed	Passed
Iterative Serial Test	Passed	1 of 4 Failed	1 of 4 Failed	1 of 4 Failed	1 of 4 Failed	Passed
Iterative Gap-Test	Passed	Passed	Passed	Passed	Passed	Passed
Iterative Gap-Test	Passed	1 of 4 Failed	1 of 4 Failed	1 of 4 Failed	1 of 4 Failed	Passed
Iterative Gap-Test	Passed	Passed	2 of 4 Failed	2 of 4 Failed	2 of 4 Failed	1 of 4 Failed
Iterative Maximum-of-t Test	1 of 4 Failed	2 of 4 Failed	3 of 4 Failed	Passed	Passed	Passed
Iterative Maximum-of-t Test	Passed	Passed	2 of 4 Failed	Passed	Passed	Passed
Collision-Test (Hash-Test)	1 of 4 Failed	1 of 4 Failed	4 of 4 Failed	Passed	Passed	Passed
Collision-Test (Hash-Test)	Passed	2 of 4 Failed	4 of 4 Failed	Passed	Passed	Passed
Collision-Test (Hash-Test)	1 of 4 Failed	2 of 4 Failed	3 of 4 Failed	Passed	Passed	Passed

minstd rand

331
717
1236
667790

Iterative Chi-Square-Uniformity-Test

Number of Iterations	10000
Number of Numbers	100000
Number of Classes	256

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		10000	10000	10000	10000
K^+	value	0.38	0.48	0.69	0.48
K^+	Probability	0.751	0.633	0.386	0.624
K^-	value	0.45	0.82	0.92	0.39
K^-	Probability	0.67	0.263	0.182	0.735

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Iterative Chi-Square-Uniformity-Test

Number of Iterations	10000
Number of Numbers	10000
Number of Classes	128

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		10000	10000	10000	10000
K^+	value	0.73	0.46	0.71	0.3
K^+	Probability	0.348	0.657	0.361	0.838
K^-	value	0.52	0.4	0.88	0.94
K^-	Probability	0.586	0.725	0.21	0.167

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Iterative Serial Test

Number of Iterations	1000
Number of Numbers	100000
Grid-Size	100
Dimension	2

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.76	0.82	0.67	0.44
K^+	Probability	0.307	0.258	0.405	0.669
K^-	value	0.73	0.59	0.59	0.75
K^-	Probability	0.335	0.491	0.492	0.319

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Iterative Serial Test

Number of Iterations	1000
Number of Numbers	100000
Grid-Size	20
Dimension	3

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.07	0.74	0.24	0.47
K^+	Probability	0.098	0.325	0.888	0.638
K^-	value	0.51	0.79	0.84	0.89
K^-	Probability	0.587	0.279	0.24	0.205

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Failed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	1	0	0	0

Iterative Serial Test

Number of Iterations	1000
Number of Numbers	100000
Grid-Size	10
Dimension	4

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.31	0.83	0.97	0.69
K^+	Probability	0.815	0.247	0.151	0.38
K^-	value	1.42	0.05	0.03	0.08
K^-	Probability	0.017	0.993	0.997	0.987

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Failed	Failed	Passed	Passed	Passed
717	Passed	Passed	Passed	Failed	Failed	Failed
1236	Passed	Passed	Passed	Failed	Failed	Failed
667790	Passed	Passed	Passed	Failed	Failed	Passed
total failed	0	1	1	3	3	2

Iterative Gap-Test

Number of Iterations	1000
Number of Gaps	1250
Generated random numbers	23774679
Lower Gap Limit	0
Upper Gap Limit	0.05
Max Gap Count	30

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.34	0.81	0.57	0.62
K^+	Probability	0.785	0.261	0.516	0.46
K^-	value	0.73	0.32	1.3	0.62
K^-	Probability	0.337	0.809	0.033	0.453

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Failed	Failed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	1	1	0	0	0

Iterative Gap-Test

Number of Iterations	1000
Number of Gaps	1250
Generated random numbers	11241331
Lower Gap Limit	0.45
Upper Gap Limit	0.55
Max Gap Count	30

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.66	0.57	0.44	0.83
K^+	Probability	0.409	0.513	0.678	0.251
K^-	value	0.69	0.52	0.72	0.52
K^-	Probability	0.377	0.575	0.348	0.577

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Iterative Gap-Test

Number of Iterations	1000
Number of Gaps	1250
Generated random numbers	23763699
Lower Gap Limit	0.95
Upper Gap Limit	1
Max Gap Count	30

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.86	0.85	0.33	0.5
K^+	Probability	0.22	0.229	0.803	0.605
K^-	value	0.25	0.66	0.7	1.003
K^-	Probability	0.877	0.417	0.366	0.131

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Iterative Maximum-of-t Test

Number of Iterations	1000
Number of Sequenzes	2000
Length of Sequenzes	5
Number of Bins	5

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.26	0.34	1.85	0.89
K^+	Probability	0.867	0.793	0.001	0.198
K^-	value	0.92	1.15	0.51	0.67
K^-	Probability	0.179	0.07	0.582	0.403

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Failed	Passed	Passed	Passed
1236	Failed	Failed	Failed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	1	1	2	0	0	0

Iterative Maximum-of-t Test

Number of Iterations	1000
Number of Sequenzes	2000
Length of Sequenzes	3
Number of Bins	3

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.03	0.34	0.8	0.94
K^+	Probability	0.118	0.793	0.277	0.169
K^-	value	0.3	0.82	0.48	0.38
K^-	Probability	0.829	0.254	0.63	0.746

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Collision-Test (Hash-Test)

Number of Balls	16348
Edge length	1024
Dimension	2
Number of Urns	1048576
Number of Runs	1000

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.95	1.49	1.17	1.11
K^+	Probability	0.161	0.012	0.062	0.083
K^-	value	0.9	0.9	0.5	0.79
K^-	Probability	0.195	0.191	0.604	0.285

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Failed	Failed	Passed	Passed	Passed
1236	Passed	Passed	Failed	Passed	Passed	Passed
667790	Passed	Passed	Failed	Passed	Passed	Passed
total failed	0	1	3	0	0	0

Collision-Test (Hash-Test)

Number of Balls	16348
Edge length	32
Dimension	4
Number of Urns	1048576
Number of Runs	1000

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.35	0.61	1.18	0.92
K^+	Probability	0.025	0.472	0.059	0.18
K^-	value	0.79	1.1	0.58	1.31
K^-	Probability	0.285	0.086	0.506	0.031

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Failed	Failed	Passed	Passed	Passed
717	Passed	Passed	Failed	Passed	Passed	Passed
1236	Passed	Passed	Failed	Passed	Passed	Passed
667790	Passed	Failed	Failed	Passed	Passed	Passed
total failed	0	2	4	0	0	0

Collision-Test (Hash-Test)

Number of Balls	16348
Edge length	4
Dimension	10
Number of Urns	1048576
Number of Runs	1000

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.8	0.39	1.4	1.08
K^+	Probability	0.275	0.728	0.02	0.094
K^-	value	1.07	1.53	0.82	0.62
K^-	Probability	0.099	0.009	0.257	0.454

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Failed	Passed	Passed	Passed
717	Failed	Failed	Failed	Passed	Passed	Passed
1236	Passed	Failed	Failed	Passed	Passed	Passed
667790	Passed	Passed	Failed	Passed	Passed	Passed
total failed	1	2	4	0	0	0

mt19937, Mersenne Twister

331
717
1236
667790

Iterative Chi-Square-Uniformity-Test

Number of Iterations	10000
Number of Numbers	100000
Number of Classes	256

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		10000	10000	10000	10000
K^+	value	0.89	1.22	0.59	0.17
K^+	Probability	0.207	0.052	0.502	0.944
K^-	value	0.06	0.18	0.25	0.8
K^-	Probability	0.993	0.939	0.878	0.281

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Failed	Failed	Failed
717	Passed	Passed	Failed	Failed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Failed	Passed	Passed
total failed	0	0	1	3	1	1

Iterative Chi-Square-Uniformity-Test

Number of Iterations	10000
Number of Numbers	10000
Number of Classes	128

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		10000	10000	10000	10000
K^+	value	1.24	1.39	0.69	0.82
K^+	Probability	0.047	0.02	0.383	0.256
K^-	value	0.17	0.15	0.26	0.86
K^-	Probability	0.942	0.952	0.868	0.224

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Failed	Failed	Failed	Passed	Passed
717	Passed	Failed	Failed	Failed	Failed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	2	2	2	1	0

Iterative Serial Test

Number of Iterations	1000
Number of Numbers	100000
Grid-Size	100
Dimension	2

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.56	0.88	0.35	0.77
K^+	Probability	0.008	0.212	0.774	0.302
K^-	value	0.24	0.16	0.58	0.27
K^-	Probability	0.887	0.949	0.501	0.86

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Failed	Failed	Failed	Passed	Passed	Passed
717	Passed	Passed	Passed	Failed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	1	1	1	1	0	0

Iterative Serial Test

Number of Iterations	1000
Number of Numbers	100000
Grid-Size	20
Dimension	3

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.68	0.42	0.84	0.47
K^+	Probability	0.389	0.694	0.237	0.641
K^-	value	0.39	0.53	0.58	0.39
K^-	Probability	0.726	0.567	0.503	0.737

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Iterative Serial Test

Number of Iterations	1000
Number of Numbers	100000
Grid-Size	10
Dimension	4

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.7	0.94	0.76	0.54
K^+	Probability	0.374	0.169	0.314	0.549
K^-	value	0.57	0.18	0.54	0.73
K^-	Probability	0.517	0.934	0.549	0.344

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Failed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	1	0	0

Iterative Gap-Test

Number of Iterations	1000
Number of Gaps	1250
Generated random numbers	118777864
Lower Gap Limit	0
Upper Gap Limit	0.05
Max Gap Count	30

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.99	0.17	0.81	0.8
K^+	Probability	0.136	0.941	0.269	0.274
K^-	value	0.54	0.99	0.88	0.61
K^-	Probability	0.548	0.14	0.206	0.473

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Failed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	1	0	0

Iterative Gap-Test

Number of Iterations	1000
Number of Gaps	1250
Generated random numbers	56257224
Lower Gap Limit	0.45
Upper Gap Limit	0.55
Max Gap Count	30

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.92	0.53	0.55	0.67
K^+	Probability	0.178	0.564	0.543	0.405
K^-	value	0.34	0.59	0.53	0.24
K^-	Probability	0.783	0.49	0.562	0.883

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Iterative Gap-Test

Number of Iterations	1000
Number of Gaps	1250
Generated random numbers	118758402
Lower Gap Limit	0.95
Upper Gap Limit	1
Max Gap Count	30

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.38	0.8	0.85	0.4
K^+	Probability	0.746	0.27	0.233	0.722
K^-	value	1.31	0.46	0.43	0.81
K^-	Probability	0.031	0.654	0.684	0.262

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Failed	Failed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	1	1	0	0	0

Iterative Maximum-of-t Test

Number of Iterations	1000
Number of Sequenzes	2000
Length of Sequenzes	5
Number of Bins	5

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.77	0.46	1.78	0.9
K^+	Probability	0.002	0.651	0.002	0.194
K^-	value	0.55	1.18	0.89	0.96
K^-	Probability	0.537	0.061	0.205	0.156

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Failed	Failed	Failed	Passed	Passed	Passed
717	Passed	Passed	Failed	Passed	Passed	Passed
1236	Failed	Failed	Failed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	2	2	3	0	0	0

Iterative Maximum-of-t Test

Number of Iterations	1000
Number of Sequenzes	2000
Length of Sequenzes	3
Number of Bins	3

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.36	0.83	0.56	0.75
K^+	Probability	0.762	0.25	0.527	0.319
K^-	value	0.8	0.59	0.48	0.95
K^-	Probability	0.27	0.495	0.625	0.159

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Collision-Test (Hash-Test)

Number of Balls	16348
Edge length	1024
Dimension	2
Number of Urns	1048576
Number of Runs	1000

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.49	0.76	1.87	0.75
K^+	Probability	0.608	0.305	0.001	0.317
K^-	value	1.56	1.19	0.58	1.23
K^-	Probability	0.008	0.058	0.499	0.047

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Failed	Failed	Failed	Passed	Passed	Passed
717	Passed	Passed	Failed	Passed	Passed	Passed
1236	Failed	Failed	Failed	Passed	Passed	Passed
667790	Passed	Failed	Failed	Passed	Passed	Passed
total failed	2	3	4	0	0	0

Collision-Test (Hash-Test)

Number of Balls	16348
Edge length	32
Dimension	4
Number of Urns	1048576
Number of Runs	1000

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.14	0.81	0.83	0.96
K^+	Probability	0.072	0.262	0.244	0.157
K^-	value	0.39	0.94	0.82	0.88
K^-	Probability	0.734	0.166	0.258	0.209

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Failed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	1	0	0	0

Collision-Test (Hash-Test)

Number of Balls	16348
Edge length	4
Dimension	10
Number of Urns	1048576
Number of Runs	1000

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.68	0.59	0.57	0.74
K^+	Probability	0.003	0.487	0.517	0.329
K^-	value	0.32	1.29	1.55	1.23
K^-	Probability	0.804	0.034	0.008	0.046

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Failed	Failed	Failed	Passed	Passed	Passed
717	Passed	Failed	Failed	Passed	Passed	Passed
1236	Failed	Failed	Failed	Passed	Passed	Passed
667790	Passed	Failed	Failed	Passed	Passed	Passed
total failed	2	4	4	0	0	0

Lagged Fibonacci, 23209

331
717
1236
667790

Iterative Chi-Square-Uniformity-Test

Number of Iterations	10000
Number of Numbers	100000
Number of Classes	256

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		10000	10000	10000	10000
K^+	value	0.56	1.06	0.76	0.77
K^+	Probability	0.531	0.103	0.314	0.306
K^-	value	1.35	0.28	0.62	0.53
K^-	Probability	0.025	0.854	0.458	0.564

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Failed	Failed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	1	1	0	0	0

Iterative Chi-Square-Uniformity-Test

Number of Iterations	10000
Number of Numbers	10000
Number of Classes	128

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		10000	10000	10000	10000
K^+	value	0.26	0.41	0.87	0.15
K^+	Probability	0.872	0.714	0.217	0.955
K^-	value	0.69	0.64	0.24	0.8
K^-	Probability	0.386	0.436	0.886	0.275

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Failed	Failed	Passed
total failed	0	0	0	1	1	0

Iterative Serial Test

Number of Iterations	1000
Number of Numbers	100000
Grid-Size	100
Dimension	2

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.33	0.39	0.59	0.67
K^+	Probability	0.804	0.726	0.492	0.405
K^-	value	0.76	0.83	0.3	0.59
K^-	Probability	0.313	0.247	0.831	0.487

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Iterative Serial Test

Number of Iterations	1000
Number of Numbers	100000
Grid-Size	20
Dimension	3

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.7	0.44	0.63	0.41
K^+	Probability	0.372	0.668	0.45	0.707
K^-	value	0.34	0.62	0.99	0.74
K^-	Probability	0.787	0.457	0.135	0.332

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Iterative Serial Test

Number of Iterations	1000
Number of Numbers	100000
Grid-Size	10
Dimension	4

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.95	0.52	0.28	0.72
K^+	Probability	0.159	0.572	0.854	0.35
K^-	value	0.21	0.79	0.91	0.64
K^-	Probability	0.91	0.283	0.184	0.438

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Failed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	1	0	0

Iterative Gap-Test

Number of Iterations	1000
Number of Gaps	1250
Generated random numbers	213854105
Lower Gap Limit	0
Upper Gap Limit	0.05
Max Gap Count	30

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.38	0.54	0.81	0.67
K^+	Probability	0.021	0.55	0.263	0.407
K^-	value	0.65	0.61	1.13	0.21
K^-	Probability	0.421	0.47	0.077	0.912

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Failed	Failed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Failed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Failed	Passed	Passed
total failed	0	1	2	1	0	0

Iterative Gap-Test

Number of Iterations	1000
Number of Gaps	1250
Generated random numbers	101273329
Lower Gap Limit	0.45
Upper Gap Limit	0.55
Max Gap Count	30

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.09	0.31	0.71	0.38
K^+	Probability	0.981	0.821	0.365	0.739
K^-	value	1.3	1.53	0.26	0.73
K^-	Probability	0.033	0.009	0.87	0.339

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Failed	Failed	Failed	Failed	Passed
717	Failed	Failed	Failed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	1	2	2	1	1	0

Iterative Gap-Test

Number of Iterations	1000
Number of Gaps	1250
Generated random numbers	213764840
Lower Gap Limit	0.95
Upper Gap Limit	1
Max Gap Count	30

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.44	0.83	0.28	0.4
K^+	Probability	0.667	0.248	0.85	0.724
K^-	value	0.98	0.5	0.65	1.07
K^-	Probability	0.143	0.603	0.421	0.098

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Failed	Passed	Passed	Passed
total failed	0	0	1	0	0	0

Iterative Maximum-of-t Test

Number of Iterations	1000
Number of Sequenzes	2000
Length of Sequenzes	5
Number of Bins	5

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.21	1.22	0.99	1.18
K^+	Probability	0.051	0.05	0.137	0.061
K^-	value	0.91	0.57	0.79	1.24
K^-	Probability	0.189	0.516	0.279	0.045

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Failed	Passed	Passed	Passed
717	Passed	Passed	Failed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Failed	Failed	Passed	Passed	Passed
total failed	0	1	3	0	0	0

Iterative Maximum-of-t Test

Number of Iterations	1000
Number of Sequenzes	2000
Length of Sequenzes	3
Number of Bins	3

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.63	0.59	0.49	0.72
K^+	Probability	0.451	0.496	0.609	0.352
K^-	value	0.34	0.36	0.76	0.22
K^-	Probability	0.787	0.769	0.311	0.907

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Failed	Passed	Passed
total failed	0	0	0	1	0	0

Collision-Test (Hash-Test)

Number of Balls	16348
Edge length	1024
Dimension	2
Number of Urns	1048576
Number of Runs	1000

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.92	1.12	1.62	0.66
K^+	Probability	0.178	0.078	0.005	0.418
K^-	value	0.65	0.55	0.74	1.12
K^-	Probability	0.428	0.545	0.329	0.081

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Failed	Passed	Passed	Passed
1236	Failed	Failed	Failed	Passed	Passed	Passed
667790	Passed	Passed	Failed	Passed	Passed	Passed
total failed	1	1	3	0	0	0

Collision-Test (Hash-Test)

Number of Balls	16348
Edge length	32
Dimension	4
Number of Urns	1048576
Number of Runs	1000

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.86	1.35	0.35	0.86
K^+	Probability	0.001	0.025	0.778	0.223
K^-	value	0.33	1.31	1.65	1.05
K^-	Probability	0.801	0.031	0.004	0.107

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Failed	Failed	Failed	Passed	Passed	Passed
717	Passed	Failed	Failed	Passed	Passed	Passed
1236	Failed	Failed	Failed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	2	3	3	0	0	0

Collision-Test (Hash-Test)

Number of Balls	16348
Edge length	4
Dimension	10
Number of Urns	1048576
Number of Runs	1000

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.92	0.73	0.94	1.66
K^+	Probability	0.178	0.339	0.167	0.004
K^-	value	1.04	1.46	0.73	0.45
K^-	Probability	0.114	0.013	0.341	0.664

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Failed	Failed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Failed	Failed	Failed	Passed	Passed	Passed
total failed	1	2	2	0	0	0

Lagged Fibonacci, 44497

331
717
1236
667790

Iterative Chi-Square-Uniformity-Test

Number of Iterations	10000
Number of Numbers	100000
Number of Classes	256

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		10000	10000	10000	10000
K^+	value	0.66	0.51	0.5	0.38
K^+	Probability	0.421	0.592	0.599	0.742
K^-	value	0.67	1.01	1.01	0.86
K^-	Probability	0.411	0.13	0.131	0.226

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Iterative Chi-Square-Uniformity-Test

Number of Iterations	10000
Number of Numbers	10000
Number of Classes	128

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		10000	10000	10000	10000
K^+	value	1.13	0.17	0.18	0.91
K^+	Probability	0.076	0.941	0.938	0.189
K^-	value	0.3	1.14	0.87	0.51
K^-	Probability	0.838	0.074	0.22	0.596

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Failed	Passed	Passed	Passed
717	Passed	Passed	Failed	Failed	Passed	Passed
1236	Passed	Passed	Passed	Failed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	2	2	0	0

Iterative Serial Test

Number of Iterations	1000
Number of Numbers	100000
Grid-Size	100
Dimension	2

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.32	0.46	0.76	0.52
K^+	Probability	0.811	0.651	0.308	0.58
K^-	value	0.62	0.58	0.35	0.75
K^-	Probability	0.459	0.505	0.772	0.317

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Iterative Serial Test

Number of Iterations	1000
Number of Numbers	100000
Grid-Size	20
Dimension	3

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.29	0.31	1.07	0.21
K^+	Probability	0.842	0.82	0.098	0.908
K^-	value	0.84	1.11	0.1	0.74
K^-	Probability	0.239	0.084	0.977	0.33

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Failed	Passed	Passed	Passed
1236	Passed	Passed	Failed	Failed	Failed	Passed
667790	Passed	Passed	Passed	Failed	Passed	Passed
total failed	0	0	2	2	1	0

Iterative Serial Test

Number of Iterations	1000
Number of Numbers	100000
Grid-Size	10
Dimension	4

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.97	0.53	0.3	0.29
K^+	Probability	0.152	0.562	0.833	0.843
K^-	value	0.15	0.48	0.68	1.31
K^-	Probability	0.955	0.626	0.395	0.031

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Failed	Failed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Failed	Failed	Passed	Passed	Passed
total failed	0	1	1	1	1	0

Iterative Gap-Test

Number of Iterations	1000
Number of Gaps	1250
Generated random numbers	308850305
Lower Gap Limit	0
Upper Gap Limit	0.05
Max Gap Count	30

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.45	0.95	0.38	0.26
K^+	Probability	0.665	0.162	0.742	0.864
K^-	value	0.78	0.35	0.54	0.7
K^-	Probability	0.287	0.778	0.552	0.373

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	0	0	0	0	0

Iterative Gap-Test

Number of Iterations	1000
Number of Gaps	1250
Generated random numbers	146278782
Lower Gap Limit	0.45
Upper Gap Limit	0.55
Max Gap Count	30

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.64	1.47	0.56	0.71
K^+	Probability	0.439	0.013	0.531	0.355
K^-	value	0.35	0.15	0.39	0.88
K^-	Probability	0.779	0.956	0.733	0.206

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Failed	Failed	Failed	Failed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Passed	Passed	Passed	Passed	Passed
total failed	0	1	1	1	1	0

Iterative Gap-Test

Number of Iterations	1000
Number of Gaps	1250
Generated random numbers	308793499
Lower Gap Limit	0.95
Upper Gap Limit	1
Max Gap Count	30

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.21	0.54	0.07	1.12
K^+	Probability	0.053	0.556	0.988	0.079
K^-	value	0.03	0.76	0.999	0.29
K^-	Probability	0.997	0.31	0.133	0.84

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Failed	Failed	Failed	Failed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Failed	Failed	Passed
667790	Passed	Passed	Failed	Passed	Passed	Passed
total failed	0	0	2	2	2	1

Iterative Maximum-of-t Test

Number of Iterations	1000
Number of Sequenzes	2000
Length of Sequenzes	5
Number of Bins	5

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.28	1.21	0.84	2.06
K^+	Probability	0.037	0.053	0.243	0.0002
K^-	value	0.56	0.74	0.67	0.57
K^-	Probability	0.528	0.33	0.397	0.522

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Failed	Failed	Passed	Passed	Passed
717	Passed	Passed	Failed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Failed	Failed	Failed	Passed	Passed	Passed
total failed	1	2	3	0	0	0

Iterative Maximum-of-t Test

Number of Iterations	1000
Number of Sequenzes	2000
Length of Sequenzes	3
Number of Bins	3

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	0.27	0.43	0.62	1.13
K^+	Probability	0.86	0.686	0.454	0.077
K^-	value	0.66	0.57	1.07	0.23
K^-	Probability	0.418	0.52	0.097	0.899

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Passed	Passed	Passed	Passed
717	Passed	Passed	Passed	Passed	Passed	Passed
1236	Passed	Passed	Failed	Passed	Passed	Passed
667790	Passed	Passed	Failed	Passed	Passed	Passed
total failed	0	0	2	0	0	0

Collision-Test (Hash-Test)

Number of Balls	16348
Edge length	1024
Dimension	2
Number of Urns	1048576
Number of Runs	1000

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.88	1.22	1.05	1.08
K^+	Probability	0.001	0.051	0.109	0.095
K^-	value	0.46	0.23	1.19	1.08
K^-	Probability	0.651	0.897	0.057	0.093

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Failed	Failed	Failed	Passed	Passed	Passed
717	Passed	Passed	Failed	Passed	Passed	Passed
1236	Passed	Passed	Failed	Passed	Passed	Passed
667790	Passed	Passed	Failed	Passed	Passed	Passed
total failed	1	1	4	0	0	0

Collision-Test (Hash-Test)

Number of Balls	16348
Edge length	32
Dimension	4
Number of Urns	1048576
Number of Runs	1000

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.38	1.17	1.26	0.89
K^+	Probability	0.021	0.062	0.041	0.201
K^-	value	0.75	0.77	0.83	1.18
K^-	Probability	0.317	0.305	0.247	0.061

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Failed	Failed	Passed	Passed	Passed
717	Passed	Passed	Failed	Passed	Passed	Passed
1236	Passed	Failed	Failed	Passed	Passed	Passed
667790	Passed	Passed	Failed	Passed	Passed	Passed
total failed	0	2	4	0	0	0

Collision-Test (Hash-Test)

Number of Balls	16348
Edge length	4
Dimension	10
Number of Urns	1048576
Number of Runs	1000

Kolmogorov-Smirnov
Seed		331	717	1236	667790
Degrees of freedom		1000	1000	1000	1000
K^+	value	1.1	1.57	0.8	1.22
K^+	Probability	0.088	0.007	0.276	0.05
K^-	value	0.79	0.73	0.88	0.51
K^-	Probability	0.285	0.335	0.208	0.582

Confidence Level
Seed	0.01	0.05	0.1	0.9	0.95	0.99
331	Passed	Passed	Failed	Passed	Passed	Passed
717	Failed	Failed	Failed	Passed	Passed	Passed
1236	Passed	Passed	Passed	Passed	Passed	Passed
667790	Passed	Failed	Failed	Passed	Passed	Passed
total failed	1	2	3	0	0	0