For integrating a polynomial over a polyhedron LattE is used but if the
dimension is not full, then it is not implemented, see
sage: x, y = polygens(QQ, 'x, y')
sage: P = Polyhedron(vertices=[[0,0],[1,1]])
sage: P.integrate(x*y) # optional - latte_int
Traceback (most recent call last):
...
NotImplementedError: The polytope must be full-dimensional.
from
http://doc.sagemath.org/html/en/reference/discrete_geometry/sage/geometry/polyhedron/base.html#sage.geometry.polyhedron.base.Polyhedron_base.integrate
I wonder if there is a (simple) way to come around this?
[I might not be that familiar with integration over polyhedra, but
shouldn't that basically be a somehow "nice" transformation where some
Jacobi-determinant comes into play? Or are there other
mathematical/technical difficulties that arise?]
Best, Daniel
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