On Wed, 24 Feb 2010 21:02:07 +0100, mk <mrk...@gmail.com> wrote: [snip] > > rand_str_SystemRandom_seeding > mean 3845.15384615 std dev 46.2016419186 > l 3926 1.75 std devs away from mean > y 3916 1.53 std devs away from mean > d 3909 1.38 std devs away from mean > a 3898 1.14 std devs away from mean > p 3898 1.14 std devs away from mean > c 3889 0.95 std devs away from mean > u 3884 0.84 std devs away from mean > j 3873 0.60 std devs away from mean > n 3873 0.60 std devs away from mean > w 3866 0.45 std devs away from mean > x 3863 0.39 std devs away from mean > r 3855 0.21 std devs away from mean > m 3852 0.15 std devs away from mean > b 3841 -0.09 std devs away from mean > t 3835 -0.22 std devs away from mean > o 3829 -0.35 std devs away from mean > k 3827 -0.39 std devs away from mean > i 3821 -0.52 std devs away from mean > s 3812 -0.72 std devs away from mean > q 3806 -0.85 std devs away from mean > v 3803 -0.91 std devs away from mean > g 3799 -1.00 std devs away from mean > h 3793 -1.13 std devs away from mean > e 3782 -1.37 std devs away from mean > f 3766 -1.71 std devs away from mean > z 3758 -1.89 std devs away from mean
Chi2 = 14.43, 25 d.f., prob = 0.046362. The observed distribution is SIGNIFICANTLY CLOSER to the uniform distribution than reasonable by chance. > rand_str_SystemRandom_noseeding > mean 3845.15384615 std dev 55.670522726 > i 3961 2.08 std devs away from mean > r 3911 1.18 std devs away from mean > e 3910 1.16 std devs away from mean > m 3905 1.08 std devs away from mean > a 3901 1.00 std devs away from mean > u 3893 0.86 std devs away from mean > t 3882 0.66 std devs away from mean > w 3872 0.48 std devs away from mean > s 3870 0.45 std devs away from mean > c 3868 0.41 std devs away from mean > n 3866 0.37 std devs away from mean > q 3865 0.36 std devs away from mean > k 3863 0.32 std devs away from mean > y 3848 0.05 std devs away from mean > j 3836 -0.16 std devs away from mean > v 3830 -0.27 std devs away from mean > f 3829 -0.29 std devs away from mean > z 3829 -0.29 std devs away from mean > g 3827 -0.33 std devs away from mean > l 3818 -0.49 std devs away from mean > b 3803 -0.76 std devs away from mean > d 3803 -0.76 std devs away from mean > p 3756 -1.60 std devs away from mean > x 3755 -1.62 std devs away from mean > h 3744 -1.82 std devs away from mean > o 3729 -2.09 std devs away from mean Chi2 = 20.96, 25 d.f., prob = 0.304944. The observed distribution is not significantly different from the uniform distribution. > rand_str_custom > mean 3517.15384615 std dev 40.7541336343 > i 3586 1.69 std devs away from mean > a 3578 1.49 std devs away from mean > e 3575 1.42 std devs away from mean > m 3570 1.30 std devs away from mean > q 3562 1.10 std devs away from mean > c 3555 0.93 std devs away from mean > g 3552 0.86 std devs away from mean > w 3542 0.61 std devs away from mean > p 3536 0.46 std devs away from mean > x 3533 0.39 std devs away from mean > s 3528 0.27 std devs away from mean > o 3524 0.17 std devs away from mean > d 3516 -0.03 std devs away from mean > t 3515 -0.05 std devs away from mean > h 3511 -0.15 std devs away from mean > v 3502 -0.37 std devs away from mean > z 3502 -0.37 std devs away from mean > b 3500 -0.42 std devs away from mean > f 3496 -0.52 std devs away from mean > u 3492 -0.62 std devs away from mean > l 3486 -0.76 std devs away from mean > r 3478 -0.96 std devs away from mean > n 3476 -1.01 std devs away from mean > j 3451 -1.62 std devs away from mean > k 3450 -1.65 std devs away from mean > y 3430 -2.14 std devs away from mean Chi2 = 12.28, 25 d.f., prob = 0.015815. The observed distribution is SIGNIFICANTLY CLOSER to the uniform distribution than reasonable by chance. > It would appear that SystemRandom().choice is indeed best (in terms of > how much the counts stray from mean in std devs), but only after seeding > it with os.urandom. I don't see any reason to worry about any of the three, except perhaps that the first and last are surprisingly uniform. -- To email me, substitute nowhere->spamcop, invalid->net. -- http://mail.python.org/mailman/listinfo/python-list
