sym_mat2 Class Template Reference
Symmetric 2x2 matrix class. More...
#include <sym_mat2.h>
Public Types | |
|
typedef af::tiny_plain < NumType, 3 > | base_type |
Public Member Functions | |
| sym_mat2 () | |
| Default constructor. Elements are not initialized. | |
| sym_mat2 (NumType const &e00, NumType const &e11, NumType const &e01) | |
| Constructor. | |
| sym_mat2 (base_type const &a) | |
| Constructor. | |
| sym_mat2 (const NumType *a) | |
| Constructor. | |
| sym_mat2 (NumType const &diag) | |
| Constructor for diagonal matrix. | |
| sym_mat2 (af::tiny_plain< NumType, 2 > const &diag) | |
| Constructor for diagonal matrix. | |
| sym_mat2 (mat2< NumType > const &m) | |
| Construction from full 2x2 matrix. | |
| sym_mat2 (mat2< NumType > const &m, NumType const &relative_tolerance) | |
| Construction from full 2x2 matrix. | |
| NumType const & | operator() (std::size_t r, std::size_t c) const |
| Access elements with 2-dimensional indices. | |
| NumType & | operator() (std::size_t r, std::size_t c) |
| Access elements with 2-dimensional indices. | |
| vec2< NumType > | diagonal () const |
| Return diagonal elements. | |
| sym_mat2 | transpose () |
| Return the transposed matrix. | |
| NumType | trace () const |
| Return trace (sum of diagonal elements). | |
| NumType | determinant () const |
| Return determinant. | |
| sym_mat2 | co_factor_matrix_transposed () const |
| Return the transposed of the co-factor matrix. | |
| sym_mat2 | inverse () const |
| Return the inverse matrix. | |
| sym_mat2 | tensor_transform (mat2< NumType > const &c) const |
| Tensor transform: c * (*this) * c.transpose(). | |
| sym_mat2 | antisymmetric_tensor_transform (NumType const &v0) const |
| Antisymmetric tensor transform: c * (*this) * c.transpose(). | |
| sym_mat2 | antisymmetric_tensor_transform (vec2< NumType > const &v) const |
| Antisymmetric tensor transform: c * (*this) * c.transpose(). | |
| sym_mat2 | tensor_transpose_transform (mat2< NumType > const &c) const |
| Tensor transform: c.transpose() * (*this) * c. | |
| NumType | dot (sym_mat2 const &other) const |
| Sum of 4 element-wise products. | |
Detailed Description
template<typename NumType>
class scitbx::sym_mat2< NumType >
Symmetric 2x2 matrix class. Constructor & Destructor Documentation
Construction from full 2x2 matrix.
The off-diagonal elements of the new sym_mat2 are copied from the upper-right triangle of m.
An exception is thrown if the absolute value of the difference between any pair of off-diagonal elements is different from zero.
See also: mat2<>::is_symmetric()
Construction from full 2x2 matrix.
The off-diagonal elements of the new sym_mat2 are determined as the averages of the corresponding off-diagonal elements of the input matrix m.
If relative_tolerance is greater than or equal to zero, it is used to check the input matrix m. An exception is thrown if the absolute value of the difference between any pair of off-diagonal elements is larger than max_abs*relative_tolerance, where max_abs is the maximum of the absolute values of the elements of m.
See also: mat2<>::is_symmetric()
Member Function Documentation
| sym_mat2 transpose | ( | ) | [inline] |
Return the transposed matrix.
In analogy with mat2, return a new instance.
| sym_mat2 co_factor_matrix_transposed | ( | ) | const [inline] |
Return the transposed of the co-factor matrix.
The inverse matrix is obtained by dividing the result by the determinant().
Referenced by principal_axes_of_inertia_2d::distance_to_inertia_ellipsoid_surface(), and sym_mat2< FloatType >::inverse().
| sym_mat2 inverse | ( | ) | const [inline] |
Return the inverse matrix.
An exception is thrown if the matrix is not invertible, i.e. if the determinant() is zero.
| sym_mat2< NumType > antisymmetric_tensor_transform | ( | NumType const & | v0 | ) | const [inline] |
Antisymmetric tensor transform: c * (*this) * c.transpose().
c is the antisymmetric matrix {{ 0, v0, v1}, {-v0, 0, v2} {-v1, -v2, 0}}
Referenced by sym_mat2< FloatType >::antisymmetric_tensor_transform().
Antisymmetric tensor transform: c * (*this) * c.transpose().
c is the antisymmetric matrix {{ 0, v[0], v[1]}, {-v[0], 0, v[2]} {-v[1], -v[2], 0 }}
The documentation for this class was generated from the following file:
- scitbx/sym_mat2.h
