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Date: Sat, 1 Oct 2016 09:44:40 -0700 (PDT)
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Subject: Re: Ada.Numerics.Float_Random.Generator question
From: Robert Eachus <rieachus@comcast.net>
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Xref: news.eternal-september.org comp.lang.ada:31959
Date: 2016-10-01T09:44:40-07:00
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On Saturday, October 1, 2016 at 11:50:04 AM UTC-4, Dmitry A. Kazakov wrote:
> On 2016-10-01 16:23, Robert Eachus wrote:
>=20
> > But there is infinite state, and infinite state. An infinite state
> > that is a simple counter of the number of values returned is probably
> > acceptable, a generator that requires storing the whole sequence is not=
.
>=20
> There is no difference both are infinite. Single infinite counter is=20
> capable to store whole sequence and conversely.

My point was that a state which slowly grows toward infinity (the counter) =
can easily be stored.  Any state that requires infinite storage or grows no=
n-polynomially is right out.  States which grow by some polynomial in the c=
ounter?  Depends.=20

On the issue of multiple seeds, Pi times an integer is also trancendental, =
but the values would be correlated between sequences.  Multiplying Pi by a =
rational number is better, but I think natural logs of primes would work.  =
Of course, now we have the problem of converting the seed selected by the p=
rogrammer, or the clock, or whatever, into unique prime seeds.