| | | Grid Edge Concept |
A Grid Edge represents the mathematical concept of an edge -- a 1-dimensional entity in a Grid.
E is a type which is a model of Grid Edge
e is an object of type E
V is a shorthand for the E::Vertex type
v is an object of type V
g is an object of type E::grid_type
h is an object of type E::edge_handle
NOTE: The types and expression involving
Incidence Iterators are given below for the
case of cell-on-edge iteration.
Analogous types and expressions can be defined for the other element types,
like edge, facet, or cell.
The tables are to be understood in the following sense:
If a edge defines the incidence iterator over cells,
then the requirements under Optional part apply.
Analogous requirements take effect if `cell' is replaced by another element type.
|
Name | Expression | Description |
| handle type | E::edge_handle | type of the corresponding Edge Handle |
| vertex type |
E::Vertex |
Vertex type of the edge,
short for E::grid_type::Vertex.
|
| Optional part (as example) | ||
| cell-on-edge iterator | E::CellIterator | type of the corr. CellOnEdgeIterator |
|
Name | Expression | Type requirements | return type |
| handle | e.handle() | E::edge_handle | |
| first vertex |
v = e.V1() | Vertex | |
| second vertex |
v = e.V2() | Vertex | |
| Optional part (as example) | |||
| cell-on-edge iteration start | e.FirstCell() | E::CellIterator | |
| number of incident cells | E.NumOfCells() | int | |
|
Name | Expression | Precondition | Semantics | Postcondition |
| handle | h = e.handle(); | e is valid | shorthand for h = e.TheGrid(). handle(e) | e == e.TheGrid(). edge(h) |
| Optional part (as example) | ||||
| cell-on-edge iteration start | ci = e.FirstCell() | e is valid | let ci point to the first cell incident to e | ci.TheEdge() == ci.TheAnchor() == e and ci.TheGrid() == e.TheGrid() |
| number of incident cells | n = e.NumOfCells() | e is valid | n is the number of cells that are incident to e | |
All operations are amortized constant timeX.
Complex2D::Edge defined in edge2d.h
Grid Grid Element Handle Edge Handle Grid Element Grid Cell Sequence Iterator Incidence Iterator
Guntram Berti
| | | Grid Edge Concept |