A slab of thickness one cell cut out of a tensor product chain complex. More...
#include <element.h>
Collaboration diagram for TPCC::Slab< n, k, Bint, Sint, Tint >:
Public Member Functions | |
| constexpr | Slab (const Lexicographic< n, k, Bint, Sint, Tint > &from, const std::array< Tint, n - 1 > directions, const std::array< bool, n - 1 > &reverse, Tint normal_direction, Sint normal_coordinate) |
| constexpr Bint | size () const |
| constexpr Bint | block_size (Tint block) const |
| The number of elements in one direction. More... | |
| constexpr Element< n, k, Sint, Tint > | operator[] (Bint index) const |
| The element at position index, in the coordinates of the whole chain complex. More... | |
Private Types | |
| typedef Lexicographic< n, k, Bint, Sint, Tint > | super_class |
Static Private Member Functions | |
| static constexpr std::array< Sint, n - 1 > | aux_dimensions (const Lexicographic< n, k, Bint, Sint, Tint > &from, const std::array< Tint, n - 1 > &directions) |
| Compute the dimensions of the auxiliary object. More... | |
Private Attributes | |
| const Lexicographic< n, k, Bint, Sint, Tint > & | superset |
| const std::array< Tint, n - 1 > | directions |
| const std::array< bool, n - 1 > | reverse |
| const Tint | normal_direction |
| const Sint | normal_coordinate |
| const Lexicographic< n - 1,((k > 0) ? k - 1 :0), Bint, Sint, Tint > | aux |
| std::array< Bint, binomial(n, k)> | block_sizes |
| The number of objects facing the same directions. More... | |
Detailed Description
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
class TPCC::Slab< n, k, Bint, Sint, Tint >
A slab of thickness one cell cut out of a tensor product chain complex.
A slab is a submesh of (topological) codimension 1 cut out of an n-dimensional mesh. It is characterized by its normal_direction, the one missing from the complex, and the normal_coordinate, the position along the normal_direction. It only consists of elements which extend in the normal direction. In this respect, it differs from a CutPlane which contains elements within a hyperplane characterized by the same data.
- Note
- The data member superset is currently a reference, which might become outdated. We could replace it by some kind of smartpointer, but this induces overhead. AS of now, the focus of this project is on minimal overhead, such that we can use the functions for the managing of high order cochain finite elements on each mesh cell. Thus, we trade off safety for efficiency until there is a better idea.
Member Typedef Documentation
◆ super_class
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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private |
Constructor & Destructor Documentation
◆ Slab()
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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inlineconstexpr |
Member Function Documentation
◆ aux_dimensions()
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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inlinestaticconstexprprivate |
Compute the dimensions of the auxiliary object.
Here is the call graph for this function:
◆ block_size()
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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inlineconstexpr |
The number of elements in one direction.
◆ operator[]()
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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inlineconstexpr |
The element at position index, in the coordinates of the whole chain complex.
The index refers to lexicographic ordering in the local coordinates of the Slab, as defined by directions and reverse. The Element returned has its coordinates in the superset. Thus, it contains a field for a coordinate normal_direction and the value of this coordinate is always normal_coordinate.
Here is the call graph for this function:
◆ size()
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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inlineconstexpr |
Member Data Documentation
◆ aux
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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private |
◆ block_sizes
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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private |
The number of objects facing the same directions.
◆ directions
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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private |
◆ normal_coordinate
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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private |
◆ normal_direction
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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private |
◆ reverse
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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private |
◆ superset
template<int n, int k, typename Bint = unsigned int, typename Sint = unsigned short, typename Tint = unsigned char>
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private |
The documentation for this class was generated from the following files:
