RE: P1788.1/M001.01
This is just a simplified version of the general interval standard, so the answers should be exactly the ranges of the corresponding functions, in the first case, the range of f(x1,x2) = x1 - x2 when x1 is in [1,3] and x2 is in [1,3]. Due to monotonicity, we have the range [1-3,3-1] = [-2, 2].
In the second cases, similarly, we have the range of the function f(x1, x2) = x1 * x2 when x1 is in [-1, 1] and x2 is in [-1,1], the range is [-1, 1].
In both cases, there is no need for rounding, so we get exactly the results of interval arithmetic -- and exactly what we want when we are estimating the range of the possible values.
-----Original Message-----
From: stds-1788@xxxxxxxx [mailto:stds-1788@xxxxxxxx] On Behalf Of Mehran Mazandarani
Sent: Thursday, September 24, 2015 2:37 PM
To: John Pryce <j.d.pryce@xxxxxxxxxx>
Cc: stds-1788 <stds-1788@xxxxxxxxxxxxxxxxx>
Subject: Re: P1788.1/M001.01
Dear John
Thank you for your advice. But I just have the simplified standard document (Clause 4.pdf) which ends by the page 6.
Could somebody answer the two questions concretely.
Cordial regards,
On 9/24/15, John Pryce <j.d.pryce@xxxxxxxxxx> wrote:
> Dear Mehran
>
> On 24 Sep 2015, at 15:14, Mehran Mazandarani
> <me.mazandarani@xxxxxxxxx>
> wrote:
>> I have some simple questions about the simplified standard
>> P1788.1/M001.01.
>> Based on the standard P1788.1/M001.01, 1. What is the output of
>> [1,3]-[1,3]=?
>> 2. What is the output of [-1,1] multiply by [-1,1]?
>
> I think these are answered by page 9 lines 10-13, in §4.4.4, of the
> circulated Clause 4.
>
> Regards
>
> John Pryce
--
Mehran Mazandarani
Department of Electrical Engineering
Ferdowsi University of Mashhad, Mashhad, Iran.
homepage:http://mehran.mazandarani.fumblog.um.ac.ir/
http://works.bepress.com/mehran_mazandarani
IEEE Member, me.mazandarani@xxxxxxxx