Bellow is my personal opinion and I am not among the people evaluating
the applications.
> I want to purely concentrate on interval arithmetic and the implicit
> plotting
Implicit plotting sounds really great (and I assume this also includes
the discontinuity detection described in the paper?). However, be
*extremely* wary about not rediscovering the wheel when you work on
interval arithmetics. It is very important to use mature code base for
that and not reimplement everything from scratch.
> I won't be fixing the structure of the new plotting module as they
> are not at all dependent of each other. The primary goal of my plotting
> module will be the ability to plot implicit functions, while the plotting
> module
> by Krastanov will handle functions of the type y = f(x) . So I think they
> will be
> completely independent.
I don't think that they will be completely independent - you still
need to create a Series subclass, otherwise your stuff will have to be
handled explicitly by every single backend that we may add in the
future and this will not be sustainable. But this should not be a
problem, as you still have complete liberty in your approach.
> The only problem will be whether I will be using experimental_lambdify?
> Yes. I will be using experimental_lambdify to evaluate functions. I think I
> won't have the time to work on it though.
If it is only for evaluation in 64-bit precision, you won't have any
problems. If you need something else, there will be many problems.
>
> I would like to know whether I can edit mpmath codebase in sympy. This is
> necessary as mpmath interval arithmetic library does not support all the
> functions.
> Also I would like to extend their module to allow property checking. What do
> you
> think will be better?
Whatever you do in mpmath should be done upstream. You should contact
them with your questions.

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