Using the Raised Cosine Distribution in PRNG
12-26-2016, 01:37 AM
Post: #5
 ttw Member Posts: 267 Joined: Jun 2014
RE: Using the Raised Cosine Distribution in PRNG
Another distribution (probably suitable for gaming but not for high-accuracy calculation without some extra work) that mimics the normal is the Kahn Pseudo Normal. It's easy to generate. With u being uniformly distributed between 0 and 1, the variates are given by:

Y = Log ( 1/u - 1 )

Another possibility, but with infinite variance:

Y = Tangent( Pi * (Y - 1/2) )

Averages of the first distribution converge to a normal distribution (central limit theorem). Averages of the second distribution converge to another Cauchy distribution.
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 Messages In This Thread Using the Raised Cosine Distribution in PRNG - Namir - 12-18-2016, 01:51 AM RE: Using the Raised Cosine Distribution in PRNG - mark4flies - 12-21-2016, 01:42 PM RE: Using the Raised Cosine Distribution in PRNG - Namir - 12-21-2016, 03:20 PM RE: Using the Raised Cosine Distribution in PRNG - mark4flies - 12-25-2016, 12:30 PM RE: Using the Raised Cosine Distribution in PRNG - ttw - 12-26-2016 01:37 AM RE: Using the Raised Cosine Distribution in PRNG - Paul Dale - 12-26-2016, 01:42 AM RE: Using the Raised Cosine Distribution in PRNG - Namir - 12-26-2016, 02:12 AM RE: Using the Raised Cosine Distribution in PRNG - Paul Dale - 12-26-2016, 07:39 AM RE: Using the Raised Cosine Distribution in PRNG - Namir - 12-26-2016, 11:03 AM RE: Using the Raised Cosine Distribution in PRNG - Dieter - 12-26-2016, 08:01 PM

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