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From: Christophe Raffalli <Christophe.Raffalli@univ-savoie.fr>
To: "Harrison, John R" <johnh@ichips.intel.com>
Cc: caml-list <caml-list@inria.fr>
Subject: Re: [Caml-list] Are you sure the new "=" of 3.08 is good ?
Date: Fri, 08 Oct 2004 07:49:17 +0200	[thread overview]
Message-ID: <41662A5D.8040600@univ-savoie.fr> (raw)
In-Reply-To: <012676D607FCF54E986746512C22CE7D0FE7B6@orsmsx407>

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> You can perfectly well compute it, and the general consensus among the
> floating-point community is that trig functions should do the best they
> reasonably can even on huge arguments. Techniques for doing this kind
> of reduction reasonably efficiently have been known for at least 20
> years, e.g.

Yes you can perfectly compute sin 10e100.

But if x is the result of any computation (with rounding error), and x 
is huge, sin x may be any value between -1 and 1. So the best value from 
sin x is either 0 (your possible error is minimum) or nan.


-- 
Christophe Raffalli
Université de Savoie
Batiment Le Chablais, bureau 21
73376 Le Bourget-du-Lac Cedex

tél: (33) 4 79 75 81 03
fax: (33) 4 79 75 87 42
mail: Christophe.Raffalli@univ-savoie.fr
www: http://www.lama.univ-savoie.fr/~RAFFALLI
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  reply	other threads:[~2004-10-08  5:49 UTC|newest]

Thread overview: 15+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2004-10-08  2:54 Harrison, John R
2004-10-08  5:49 ` Christophe Raffalli [this message]
2004-10-08  6:54   ` David Brown
  -- strict thread matches above, loose matches on Subject: below --
2004-10-09 18:10 Harrison, John R
2004-10-09 17:56 Harrison, John R
2004-10-08 16:35 Harrison, John R
2004-10-08 17:34 ` Damien Doligez
2004-10-09  8:58 ` Xavier Leroy
2004-10-08 16:25 Harrison, John R
2004-10-07 21:14 Christophe Raffalli
2004-10-08  7:38 ` Jean-Christophe Filliatre
2004-10-08  8:31   ` Christophe Raffalli
2004-10-08 15:10     ` Damien Doligez
2004-10-08  9:37 ` Sébastien Furic
2004-10-08 15:54 ` Xavier Leroy

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