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Re: [Bug-apl] Bad quality of the roll function


From: Juergen Sauermann
Subject: Re: [Bug-apl] Bad quality of the roll function
Date: Wed, 20 Aug 2014 16:07:22 +0200
User-agent: Mozilla/5.0 (X11; Linux i686; rv:31.0) Gecko/20100101 Thunderbird/31.0

Hi Kacper,

thanks for reporting this. Should be improved in SVN 439.

/// Jürgen


On 08/20/2014 06:47 AM, Kacper Gutowski wrote:
Currently GNU APL uses LCG with modulus 2⋆64 and then reduces values modulo
desired range.  This, beside being slightly biased for ranges not dividing
the modulus, yields reduced periods when range is power of two.

       ?10 16⍴16
11 2 13 12 15 6 1 16 3 10 5 4 7 14 9 8
11 2 13 12 15 6 1 16 3 10 5 4 7 14 9 8
11 2 13 12 15 6 1 16 3 10 5 4 7 14 9 8
11 2 13 12 15 6 1 16 3 10 5 4 7 14 9 8
11 2 13 12 15 6 1 16 3 10 5 4 7 14 9 8
11 2 13 12 15 6 1 16 3 10 5 4 7 14 9 8
11 2 13 12 15 6 1 16 3 10 5 4 7 14 9 8
11 2 13 12 15 6 1 16 3 10 5 4 7 14 9 8
11 2 13 12 15 6 1 16 3 10 5 4 7 14 9 8
11 2 13 12 15 6 1 16 3 10 5 4 7 14 9 8

Doesn't look very random to me.


-k






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