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Subject: Re: [boost] [mpl-cf] [RFC] MPL Real Numbers using Continued Fractions
From: Dave Abrahams (dave_at_[hidden])
Date: 2010-11-29 21:19:28

On Mon, Nov 29, 2010 at 9:11 PM, Scott McMurray <[hidden]> wrote:
> On Mon, Nov 29, 2010 at 07:24, Hal Finkel <half_at_[hidden]> wrote:
>> On Mon, 2010-11-29 at 11:07 +0100, Mathias Gaunard wrote:
>>> It would be nice to know what minimum value is necessary to provide
>>> correctly rounded results for IEEE754 floats and doubles.
>> This depends on the number: For a rational, you need only two
>> integers ;) For a general real number, it depends on the rate of
>> convergence.
> Wouldn't it be bounded by the number of terms needed for a
> sufficiently-precise Phi, since it's the slowest-converging CF?

For some inexplicable reason, the very fact that there's someone on
this list who knows enough about math to ask that question makes me
really, really happy.

Dave Abrahams
BoostPro Computing

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