On 23-Sep-09, at 12:51 PM, John Cowan wrote:

> Ray Dillinger scripsit:
>
>> As an aside, I'm interested in how this function is implemented.
>
> It probably notices that 1/3 is the reciprocal of an integer, and  
> applies
> an exact method.  (expt 27 2/3) returns 8.999999999999998.


MIT-Scheme yes, but not Gambit:

% gsi
Gambit v4.5.2

 > (expt 27 2/3)
9

Brad Lucier wrote Gambit's implementation of expt, and most of the  
rest of the numerical library.  Perhaps he can comment on the  
algorithm he used.

Marc


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