Karim Belabas on Wed, 14 Mar 2012 10:52:37 +0100


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Re: sqrtint for rationals


* James Wanless [2012-03-14 10:18]:
> Speaking of which, I _think_ I might have a solution for the Table-maker's
> dilemma:
> Specifically, if one has available integers of any length already ie
> thru' GMP, then why can't one just use _perfectly correct_ rationals
> (described as two integers, top and bottom of a fraction) [a little
> bit akin to two-coordinate complex numbers].
> I don't see why then one couldn't carry through rationals w/ perfect
> accuracy thru all operations...

Try to make it work with "operation" = exp(), for instance.
You'll see the problem. :-)

Cheers,

    K.B.
--
Karim Belabas, IMB (UMR 5251)  Tel: (+33) (0)5 40 00 26 17
Universite Bordeaux 1          Fax: (+33) (0)5 40 00 69 50
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