GrAL::cartesian2d::mapped_geometry< CM > Class Template Reference
[Geometric components for Cartesian2D]
geometry for RegGrid2D with explicit mapping.This class implements a straight-line geometry for the grid class RegGrid2D. The coordinates of the vertices are given by a mapping from the unit-square [0,1]x[0,1] to R^2 (or R^3, in principle. There are some problems, however. See below). More...
#include </home/guntram/tmp/GrAL/gral/cartesian2d/include/Gral/Grids/Cartesian2D/mapped-geometry.h>
Inherits GrAL::cartesian2d::dimension_dependend_extensions2d<mapped_geometry_base<CM>, mapped_geometry<CM>, point_traits<CM::result_type>::dimension>.
Public Types | |
| typedef Segment< Edge, geom_base > | segment_type |
| geometric representation of edges | |
| typedef Polygon2d< Face, geom_base > | polygon_type |
| geometric representation of faces (cells) | |
Public Member Functions | |
| segment_type | segment (const Edge &e) const |
| get geometric representation for an edge | |
| polygon_type | polygon (const Face &f) const |
| get geometric representation for a face (cell) | |
| double | volume (const Edge &e) const |
| 1-dimensional volume of an edge | |
| double | length (const Edge &e) const |
| length of a (straight) edge | |
| double | area (const Cell &c) const |
| 2-dimensional volume of a cell | |
| double | volume (const Cell &c) const |
| 2-dimensional volume of a cell | |
| coord_type | center (const Edge &e) const |
| Midpoint of an edge. | |
| coord_type | center (const Cell &c) const |
| Center of inertia of a cell. | |
| mapped_geometry () | |
| Empty geometry. | |
| mapped_geometry (const RegGrid2D &gg, const CM &ff=CM()) | |
| Standard geometry. | |
| mapped_geometry (const RegGrid2D &gg, const CM &ff, const index_type &LL, const index_type &UR) | |
Map ff(![$[0,1]^2$](form_5.png) | |
Detailed Description
template<class CM>
class GrAL::cartesian2d::mapped_geometry< CM >
geometry for RegGrid2D with explicit mapping.This class implements a straight-line geometry for the grid class RegGrid2D. The coordinates of the vertices are given by a mapping from the unit-square [0,1]x[0,1] to R^2 (or R^3, in principle. There are some problems, however. See below).
To this end, the given underlying grid G of type RegGrid2D is thought to be mapped onto the unit square, by default G.ll() -> (0.0,0.0) and G.ur() -> (1.0,1.0). A rectangle other than [G.ll(),G.ur() may be specified that is mapped to . This is useful e.g. for grids with overlaps or that are components of a larger grid, occupying only a part of the logical entire grid.
- Template parameters:
- typedef coord_type ( type of result)
- typedef argument_type
- coord_type operator()(argument_type, 2D)
- int dim_of_image() (dim. of coord_type, 2D or 3D)
- See also:
dimension_dependend_extensions2d<BASE, GEOM, 2>for additional functionality if the space dimension is 2.Test in test-mapped-geometry.C
Definition at line 263 of file mapped-geometry.h.
Member Typedef Documentation
| typedef Segment<Edge,geom_base> GrAL::cartesian2d::mapped_geometry< CM >::segment_type |
geometric representation of edges
- Todo:
- For non-linear mappings, this must be something more sophisticated.
Definition at line 315 of file mapped-geometry.h.
| typedef Polygon2d<Face,geom_base> GrAL::cartesian2d::mapped_geometry< CM >::polygon_type |
geometric representation of faces (cells)
- Todo:
- For non-linear mappings, this must be something more sophisticated.
Definition at line 320 of file mapped-geometry.h.
The documentation for this class was generated from the following file:
- Gral/Grids/Cartesian2D/mapped-geometry.h
