RFC: extracting coefficients of a multivariate polynomial



Hi all,

I have to extract the coefficients of a multivariate polynomial.
The monomials appearing in the multivariate polynomial are given.

For now I'm using the following function,
which is also the bottleneck of my application.

---------------------------------------------------------------
display2d : false;

v : [x,y];
exps : [[0,2], [0,0], [1,1], [0,1], [1,0], [2,0]];
poly : a00 + a10*x + a01*y + a20*x^2 + a11*x*y + a02*y^2;

my_coeff(v,exps,poly) := block(

        [c,k,l,h],

        c : [],
        for k : 1 thru length(exps) do block(
                h : poly,
                for l : 1 thru length(v) do block(
                        if exps[k][l] # 0 then block(
                                h : coeff(h,v[l],exps[k][l])
                        )
                ),
                for l : 1 thru length(v) do block(
                        h : subst(0,v[l],h)
                ),
                h : ratsimp(h),
                c : append(c,[h])
        ),

        return(c)

)$

my_coeff(v,exps,poly);
---------------------------------------------------------------------

Does someone know,
if Maxima does have such a function, a potentially faster one?

The documentation of Maxima revealed nothing for me :-(

Kind Regards,
Andre