Re: Midpoint and unbounded intervals
(Repost: The earlier one got lost somehow. - Dan)
> Date: Wed, 25 Jan 2012 12:31:19 -0800 (PST)
> From: Dmitry Nadezhin <dmitry.nadezhin@xxxxxxxxxx>
> To: <nh@xxxxxxxxxxxxxxxxx>
> Cc: <stds-1788@xxxxxxxxxxxxxxxxx>
> Subject: Re: Midpoint and unbounded intervals
>
> Looks good.
>
> However, it seems to me that there is an error in the paragraph
> immediately next after the definition (15). The midpoint of
> [Fmax,+oo[ is not infinity.
>
> midpoint([Fmax,+oo[)=roundUp((Fmax + Fmax)/2)=roundUp(Fmax)=Fmax .
>
> If this is correct than simpler definition (15) could be used
> instead of (16) Sorry, if I missed something.
>
> -Dima
Dima,
When you're right, you're right.
This is my fault. An earlier version of midpoint()
used nextUp & suffered from this problem. Then Nate
pointed out that we could use roundUp instead & we
changed it to that. But we didn't realized that it
also cured the problem with the last interval.
We'll change it as you suggest.
Thanks,
Dan