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

Input parameters:

1. Ms → Mesh whose edges to categorise.

Output parameters:

1. We → Edges with two adjacent facets and no stacked vertices.
2. Wi → Indices of edges with two adjacent facets and no stacked vertices.
3. Ue → Edges with two adjacent facets and stacked vertices on one or both ends.
4. Ui → Indices of edges with two adjacent facets and stacked vertices at one or both ends.
5. Ne → Edges with only a single adjacent facet.
6. Ni → Indices of edges with only a single adjacent facet.
7. Xe → Edges with three or more adjacent facets.
8. Xi → Indices of edges with three or more adjacent facets.