> I think most of the explicit equations can be handled by your
> implementation.
> I don't think the implicit equations involving such expressions can be
> plotted
> even in mathematica / Matlab.( haven't verified it though). Plotting using
> interpolation is possible, but it might lead to erroneous plots and hence
> it is better not to implement a interpolating plots for such functions.

Matlab can not (matlab is not good for anything symbolic or implicit
anyway) but Mathematica definitely can plot such expressions.

Why is interpolating a problem? All that you need to know is that your
function is monotone on the interval on which you are working, thus
just calculating one or two points inside your interval should be a
good guess. Of course there will be pathological cases, but better
fail only on patological cases than fail on every single expression
that is more complicated than a combination of sin, sqrt and abs.

Again, maybe I am missing something, but for the moment I do not see what it is.

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