Group the facets of a mesh into various mutually exclusive categories.

Input parameters:

1. Ms → Mesh whose facets to categorise.

Output parameters:

1. Wf → Facets with no naked, unwelded or non-manifold edges.
2. Wi → Indices of facets with no naked, unwelded or non-manifold edges.
3. Uf → Facets with at least one unwelded edge, but no naked or non-manifold edges.
4. Ui → Indices of facets with at least one unwelded edge, but no naked or non-manifold edges.
5. Nf → Facets with at least one naked edge and no non-manifold edges.
6. Ni → Indices of facets with at least one naked edge and no non-manifold edges.
7. Xf → Facets with at least one non-manifold edge.
8. Xi → Indices of facets with at least one non-manifold edge.