| | | Total Grid Function Concept |
The Total Grid Function concept refines the Container Grid Function concept. A total grid function reserves storage to hold a value for each element in its range.
F is a type which is a model of Total Grid Function
f is an object of type F
G is shorthand for F::grid_type
g is an object of type G.
None, exept those defined in Container Grid Function
None, exept those defined in Container Grid Function
|
Name | Expression | Precondition | Semantics | Postcondition |
| construction from grid | F f(g); | construct and bind f to g, allocate memory for f.size() values. |
f is bound to g
write access is allowed read access is undefined f.size() is equal to the cardinality of the range of f | |
| construction and initialization | F f(g,t); |
construct and bind f to g,
allocate memory for f.size() values, initialize all values to t |
f is bound to g
write access is allowed f(e) is equal to t for all elements e in the range of f. f.size() is equal to the cardinality of the range of f | |
| Binding to grid | f.set_grid(g); | f is unbound |
bind f to g,
allocate memory for f.size() values. |
f is bound to g
write access is allowed, read access is undefined f.size() is equal to the cardinality of the range of f |
Default construction takes constant time.
Construction from grid and construction with initalization both
take time at O(f.size()), that is, the number of
elements of type F::element_type of g.
grid_function_vector<E,T> defined in grid-function-vector.h
Total grid functions for the Complex2D concrete grid, defined in grid-functions.h
For E = Complex2D::Vertex and E = Complex2D::Cell, the total grid functions are derived from grid_function_vector<E,T>; and for E = Complex2D::Edge, the total grid function is derived from grid_function_hash<E,T>. The reason is taht edges are not stored in the Complex2D data structure, and hence there is no consecutive index available for type Complex2D::Edge.
Grid Element Function Grid Function Mutable Grid Function Container Grid Function Partial Grid Function
Guntram Berti
| | | Total Grid Function Concept |