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Date:      Tue, 04 Feb 2003 15:22:03 +0100
From:      Dag-Erling Smorgrav <des@ofug.org>
To:        "Andrey A. Chernov" <ache@nagual.pp.ru>
Cc:        David Schultz <dschultz@uclink.Berkeley.EDU>, Kris Kennaway <kris@obsecurity.org>, current@FreeBSD.ORG
Subject:   Re: rand() is broken
Message-ID:  <xzpisw0unw4.fsf@flood.ping.uio.no>
In-Reply-To: <20030204140806.GA93236@nagual.pp.ru> ("Andrey A. Chernov"'s message of "Tue, 4 Feb 2003 17:08:06 %2B0300")
References:  <20030203002639.GB44914@HAL9000.homeunix.com> <20030203100002.GA73386@nagual.pp.ru> <20030204054020.GA2447@HAL9000.homeunix.com> <20030204094659.GA87303@nagual.pp.ru> <20030204115237.GA6483@HAL9000.homeunix.com> <xzpfzr4b3pw.fsf@flood.ping.uio.no> <20030204131006.GB92301@nagual.pp.ru> <20030204131748.GA92510@nagual.pp.ru> <20030204132845.GA92674@nagual.pp.ru> <20030204134714.GA92940@nagual.pp.ru> <20030204140806.GA93236@nagual.pp.ru>

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"Andrey A. Chernov" <ache@nagual.pp.ru> writes:
> With NSHUFF 100 situation not changed much, so I beleive that stated 
> problem is common for this type PRNGs, so we gains nothing changing 
> formulae to Knuth-recommended values.

Yes we do.  We get a better sequence for any given seed, i.e. we get
less correlation between n and x(n) for any given x(0).  I don't think
it changes much for long sequences, but we get a better distribution
for short sequences (including short subsequences of long sequences).

As for patterns in the lower bits, we should try with a != 0 and see
how that affects the results.  I believe the purpose of a in the LCG
algorithm is to scramble the lower bits.

DES
-- 
Dag-Erling Smorgrav - des@ofug.org

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