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Re: How do I bisect unbounded intervals?



On 2012-01-17 18:01:37 -0800, Dan Zuras Intervals wrote:
> 	Folks,
> 
> 	While I sympathize with Vincent's feelings in this
> 	matter, I hesitate to follow 754 in the "formatOf"
> 	direction.
> 
> 	Vincent's motivation in this is to solve problems
> 	that limited range & precision present to the user.
> 
> 	However, it may be that the typical 1788 user has
> 	only one interval type to choose from.  And only
> 	one floating-point type to support it.  Or at the
> 	very least, both the interval & floating-point
> 	types are ALREADY the widest & most precise available.

You could say the same kind of things with IEEE 754 users.

> 	In that context, providing formatOf functions to the
> 	user solves nothing & presents us (as standards writers)
> 	with a world of hurt you can only dimly see from your
> 	vantage point.

It solves nothing in this case, but doesn't even change anything.

> 	Let us not add such complexity in the hope of solving
> 	problems we will not solve.  It is better to find
> 	other ways.

I would say that on the contrary, taking implicit types into account,
it removes complexity because there would be fewer requirements.

-- 
Vincent Lefèvre <vincent@xxxxxxxxxx> - Web: <http://www.vinc17.net/>
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Work: CR INRIA - computer arithmetic / AriC project (LIP, ENS-Lyon)