On Thu, Aug 21, 2008 at 10:58 AM, Mike Witt <[EMAIL PROTECTED]> wrote:
>
> This is an attempt to ask my previous question more clearly :-)
>
> 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
>
> But I'm not sure. I notice that:
>
> sage: type(imag(f(x,1)))
> <class 'sage.calculus.calculus.SymbolicArithmetic'>
>
> and:
>
> sage: type(imag(f(x,0)))
> <class 'sage.calculus.calculus.SymbolicConstant'>
>
> So, perhaps I could use this test (at least in this particular case) to
> avoid calling parametric_plot and simply draw a line instead. But
> I wonder if there is a more general strategy. For example, a single
> test that will tell if a function if going to evaluate to any kind
> of "constant" that plot or parametric_plot will have a problem with?
>
> I'm trying to be as clear as I can about this. I'm very new to Sage,
> and I realize that I could be missing something obvious.
>

Just out of curiosity, do you know Python?  If not,
you might *greatly* benefit from learning Python, which
is a pretty easy thing to do -- it takes a few hours to
get up to speed with the basics and there are many
good free resources online.

William

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