Subclassing ValueError to DomainError (or so) with additional information 
about the domain (if available) would make sense. The information in the 
exception could be automatically generated from a domain() method.

The plot function should of course be able to deal with ValueError

Just providing the domain in a method or exception is not the solution to 
the plot issue as plot(lambda x:arcsec(x-100)) can't know about the 
argument shift.



On Thursday, February 13, 2014 7:23:42 AM UTC, vdelecroix wrote:
>
> 2014-02-13 0:38 UTC+01:00, William Stein <wst...@gmail.com <javascript:>>: 
>
> > On Wed, Feb 12, 2014 at 2:50 PM, Jason Grout 
> > <jason...@creativetrax.com <javascript:>> wrote: 
> >> David Smith just pointed this out: arcsec(float(.1)) throws an error 
> that 
> >> doesn't make much sense.  Yes, it's outside of the domain, but it 
> should 
> >> probably deal with this by returning NaN or something rather than a 
> type 
> >> error.  This came up when David was trying to plot arcsec. 
> >> 
> >> On a related note, maybe we should have some sort of error that can be 
> >> thrown for values outside of domains?  Plot could catch an 
> out-of-domain 
> >> error and break the drawing there, so you wouldn't end up with 
> something 
> >> like http://sagecell.sagemath.org/?q=llweji 
> >> 
> > 
> > What about ValueError? 
> > 
> >    
> http://docs.python.org/2/library/exceptions.html#exceptions.ValueError 
> > 
>
> +1 
>
>
> On the other hand, it would be very nice and meaningful to have 
>
> sage: arcsec.domain() 
> (-infty; -1] u [1; +infty) 
>
> That kind of information can then be used by call to plot. 
>
> Vincent 
>

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