On 8/30/05, Cromwell Enage <sponage@yahoo.com> wrote:
--- Chris Weed wrote:
Hi, I would like to help out with this. Was the plan to implement most of the trigonometric functions with taylor expansions or some other algorithm? Chris
The plan was to implement the primary templates (sine_impl::apply, etc.) using Taylor expansions, then let the tag-dependent specializations apply their own algorithms if need be. If you know what that other algorithm is, feel free to apply it to boost::metamath::double_.
It is basically the same algorithm, but since the basic operations on double_ (times,plus,minus,divides) are designed to yield the same result as for the runtime equivalent, we need to use times_double_double etc, which uses a 61 bit mantissa, and then truncate (round) to a 52 bit mantissa. I guess we need to implement sine_double, cosine_double etc in order to give the user a chance to exploit the entire 61 bit mantissa. Regards, Peder
Cromwell D. Enage
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