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Re: Motion P1788/M0015.01: Definition_of_decorations: Up for discussion



On 2010-04-28 23:46:52 -0700, Dan Zuras Intervals wrote:
> > On 28 Apr 2010, at 15:40, Dan Zuras Intervals wrote:
> > > 	The definitions of the 'bounded' properties then become
> > > 
> > > 		boundedTrue = {there exists x in xx such that the
> > > 			nearest representable number for f(x) is
> > > 			finite in the current working precision.
> > > 			That is, that the 754 isBounded(f(x)) is
> > ??
> > > 			true.}
> > > 
> > > 		boundedFalse = {there exists x in xx such that the
> > > 			nearest representable number for f(x) is NOT
> > > 			finite in the current working precision.
> > > 			That is, that the 754 isBounded(f(x)) is
> > ??
> > > 			false.}
> > 
> > Do you mean isFinite() ? There is no isBounded() in 754.
> > 
> > John
> 
> 	Oops.  Yes.  My mistake.  Thanks.  - Dan

You also need to say which rounding direction attribute you consider.

Also the definition is rather strange if x is a machine number.
Think about cases like f = tan. Function tan is not bounded, but
in practice f(x) is finite for finite machine numbers x.

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