Antidifferentiate

[bmxam]

As proposed in #80 , here is a PR with the implementation of an antidifferentiate function, proposed here : https://github.com/JuliaAlgebra/MultivariatePolynomials.jl/pull/230. I copy below the description of the MultiVariatePolynomials PR#230 below:

With this PR, I propose to introduce a function to get the antiderivative of multivariate polynomial. Note that the word primitive, (more natural in my native language), is already used by the Julia language; hence the antiderivative name. An associated PR in TypedPolynomials is proposed.

I tried to copy what is currently done for differentiate. Except for RationalPoly, which are not always possible to antidifferentiate with polynoms. I provided some unit tests as well.

With this new function, it would then be easy to integrate a multivariate polynomial on (simple) geometries such as lines, quads, cubes etc.

Note : for personal reasons, I may be absent in the next few weeks. Don't hesitate to continue the PR process "without me".

[bmxam]

Hi Benoît (and everyone),

Now that the "antiderivative" PR has been merged in MultivariatePolynomials.jl, the present PR can be examined. Note that some unit tests are provided.