domain::CoordinateMaps::Rotation< 2 > Class Reference

Spatial rotation in two dimensions. More...

#include <Rotation.hpp>

Public Member Functions
	Rotation (double rotation_angle)
	Constructor. More...
	Rotation (const Rotation &)=default
Rotation &	operator= (const Rotation &)=default
	Rotation (Rotation &&)=default
Rotation &	operator= (Rotation &&)=default
template<typename T >
std::array< tt::remove_cvref_wrap_t< T >, 2 >	operator() (const std::array< T, 2 > &source_coords) const
std::optional< std::array< double, 2 > >	inverse (const std::array< double, 2 > &target_coords) const
	The inverse function is only callable with doubles because the inverse might fail if called for a point out of range, and it is unclear what should happen if the inverse were to succeed for some points in a DataVector but fail for other points.
template<typename T >
tnsr::Ij< tt::remove_cvref_wrap_t< T >, 2, Frame::NoFrame >	jacobian (const std::array< T, 2 > &source_coords) const
template<typename T >
tnsr::Ij< tt::remove_cvref_wrap_t< T >, 2, Frame::NoFrame >	inv_jacobian (const std::array< T, 2 > &source_coords) const
void	pup (PUP::er &p)
bool	is_identity () const

Static Public Attributes
static constexpr size_t	dim = 2

Friends
bool	operator== (const Rotation< 2 > &lhs, const Rotation< 2 > &rhs)

Detailed Description

Spatial rotation in two dimensions.

Let $(R,\mathrm{\Phi })$ be the polar coordinates associated with $(\xi ,\eta )$. Let $(r,\varphi )$ be the polar coordinates associated with $(x,y)$. Applies the spatial rotation $\varphi =\mathrm{\Phi }+\alpha$.

The formula for the mapping is:

$$\begin{array}{rcl}x& =& \xi \cos \alpha -\eta \sin \alpha \\ y& =& \xi \sin \alpha +\eta \cos \alpha \end{array}$$

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Constructor & Destructor Documentation

Rotation()

domain::CoordinateMaps::Rotation< 2 >::Rotation ( double  rotation_angle )

explicit

Constructor.

Parameters

rotation_angle

the angle $\alpha$ (in radians).

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The documentation for this class was generated from the following file:

• src/Domain/CoordinateMaps/Rotation.hpp