I did thought of that.

The problem is to determine in advance the right pseudo-value to use  in 
order not to squash the z values of interest and not to obscure the view of 
the surface(s) of interest (plot3d does not have, alas, xmin, ymin zmin, 
xmax, ymax, zmax parameters...).

Sincerely,

--
Emmanuel Charpentier

Le mercredi 9 décembre 2015 23:48:27 UTC+1, slelievre a écrit :
>
>
>
> 2015-12-05 21:03:04 UTC+1, Emmanuel Charpentier:
>>
>> Plot2d() gracefully handles plotting a fnction undefined (in real terms) 
>> on part of the plotting domain. For example :
>> plot(sqrt(x^2-1),(x,-3/2,3.2))
>> displays two half-axes of hyperbole, and waons that some points have been 
>> lost.
>>
>> plot3d() seems to lack this facility : an undefined point causes the 
>> loss of al the plot.
>>
>> How would you handle this case ? I want to plot a function defined only 
>> for some part of the plotting domain. I do not have an analytic definition 
>> for the bounds of this domain (it is defined by an equation with no closed 
>> form solution, but easily approximated by find_root()).
>>
>
> An illustration:
>
> sage: plot(lambda x: sqrt(x^2 - 1), (-2, 2))
> verbose 0 (2716: plot.py, generate_plot_points) WARNING: When plotting, 
> failed to evaluate function at 99 points.
> verbose 0 (2716: plot.py, generate_plot_points) Last error message: 'math 
> domain error'
> Launched png viewer for Graphics object consisting of 2 graphics 
> primitives
> sage: plot3d(lambda x, y: sqrt(x^2 + y^2 - 1), (-2, 2), (-2, 2))
> /opt/sage69b1/local/lib/python2.7/site-packages/sage/repl/rich_output/
> display_manager.py:570: RichReprWarning: Exception in _rich_repr_ while 
> displaying object: math domain error
>   RichReprWarning,
> Graphics3d Object
>
>
> One workaround might be, if your function f sometimes
> returns complex output, to plot f(x) when real, and 0 otherwise.
>
>

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