I'm not following this thread closely, but Algorithm M in section
3.4.1 of TAOCP is a very fast way of generating
normal deviates.  It can be modified to support generating
them in batches.

Knuth says (p. 113 of my 1969 edition) "a general-purpose
subroutine based on Algorithm M will be a valuable part of
any subroutine library".

Henry Rich

> -----Original Message-----
> From: [EMAIL PROTECTED] 
> [mailto:[EMAIL PROTECTED] On Behalf Of Brian Schott
> Sent: Saturday, August 09, 2008 3:17 PM
> To: Programming forum
> Subject: Re: [Jprogramming] generating standard normal variates
> 
> Viktor,
> 
>       Yes, your version seems clean. On my computer (which
> is an old Mac running OSX) normalrand4 takes only 1/4 the
> space of normalrand, but takes upwards of 5 times as much
> time. Go figure?
> 
> On Sat, 9 Aug 2008, Viktor Cerovski wrote:
> 
> +
> + I have rewritten a bit your Box-Mueller code into:
> +
> + normalrand4=:({.,)(2 1&o."1 [EMAIL PROTECTED]:@[EMAIL PROTECTED] * 
> [:%:[EMAIL PROTECTED]:@[EMAIL PROTECTED])@>[EMAIL PROTECTED]:
> +
> + by making it tacit and using
> +   2 1&o."1 0 and *
> + instead of
> +   (2&o.,.1&o.) and *"1 0
> +
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