Jason Grout wrote:
> Mike Witt wrote:
>> On 08/21/2008 06:55:48 PM, Joel B. Mohler wrote:
>>> On Thursday 21 August 2008 01:58:23 pm Mike Witt wrote:
>>>> I'm looking for a work-around for the situation where I would normally
>>>> call parametric_plot (or plot, for that matter) with a function, and in
>>>> some particular case that function turns out to evaluate to a constant.
>>>>
>>>> For example:
>>>>
>>>> sage: def f(a,b): return e^(a+b*I)
>>>> ....:
>>>> sage: parametric_plot([real(f(x,1)),imag(f(x,1))], -pi, pi)
>>>>
>>>>   Works as expected
>>>>
>>>> sage: parametric_plot([real(f(x,-1)),imag(f(x,-1))], -pi, pi)
>>>>
>>>>   Works as expected
>>>>
>>>> sage: parametric_plot([real(f(x,0)),imag(f(x,0))], -pi, pi)
>>>>
>>>>   Gives a page full of errors, which I interpret to mean that there
>>>>   was a problem plotting because imag(f(x,0)) evaluates to a constant.
>>>>
>>>> I believe that this is the same issue described in:
>>>>
>>>> http://trac.sagemath.org/sage_trac/ticket/2410
>>> I'm the person that entered the trac ticket and the point of that trac 
>>> ticket 
>>> is precisely the (mis-)functionality you are describing.   I'm truly 
>>> mystified by the other responses in this thread.  To me, this is an obvious 
>>> bug...
>>>
>>> --
>>> Joel
>> Thanks Joel. I was beginning to wonder if I was nuts. Just to summarize what
>> I've found out so far. The work-arounds suggested by David Joyner, Mike 
>> Hansen, 
>> and Carl Witty all work under certain assumptions, but none of the three
>> provides a completely general fix as far as I can see. Using a combination of
>> the techniques I am able to do what I want. But I am for whatever it's worth
>> I'd certainly like to add my vote that tickets #2409 and #2410 should get
>> attention. This issue with parametric_plot is certainly *very* confusing
>> to a newcomer.
> 
> 
> Here's yet another method:
> 
> sage: from  sage.ext.fast_eval import fast_float
> sage: plot(fast_float(1), -1, 2)
> sage: parametric_plot((fast_float(1),t),-12,12)
> 
> 
> Now, why in the world the plot functions aren't calling fast_float, I 
> don't know.  I thought that's what they did.  I'm looking into it for a 
> few minutes, at least.
>

Okay, apparently no one has had time to implement it.  Calling 
fast_float will solve the issue, as it is solved in parametric_plot3d, 
for example.  The new ticket is #3952.  I've also posted a patch on 
#2410 which corrects a bug in the exception handling so that you get an 
sensible exception instead of the nonsensical indexing exception that 
you get now.

Thanks,

Jason


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