You are talking about tolerance and comparison
on intervals as if they were two diffent things.
What is your definition of comparison on intervals?


--- Henry Rich <[EMAIL PROTECTED]> wrote:

> > However, for some mystical reasons J implementation
> > does not allow the tolerance (factor of the radius)
> > to grow above 2^_34, thus, as pointed out by Roger Hui
> >   http://www.jsoftware.com/jwiki/Essays/Tolerant_Comparison
> > ... This is also why it's hard to grasp
> > this limitation concept.
> 
> It is my understanding that tolerant comparison is intended
> not to solve any application problem, but just to hide the
> numerical inaccuracies that result from floating-point
> arithmetic.  For such a use, relative tolerance is
> the right approach, and 2^_34 is plenty big.
> 
> If your application needs comparison on intervals, you
> are expected to code it yourself.  Tolerance larger than
> 2^_34 hurts integer code & so is not available as a way
> to handle interval comparisons.
> 
> Henry Rich


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