domain::CoordinateMaps::Affine Class Reference

Affine map from $\xi \in [A,B]\to x\in [a,b]$. More...

#include <Affine.hpp>

Public Member Functions
	Affine (double A, double B, double a, double b)
	Affine (const Affine &)=default
	Affine (Affine &&)=default
Affine &	operator= (const Affine &)=default
Affine &	operator= (Affine &&)=default
template<typename T >
std::array< tt::remove_cvref_wrap_t< T >, 1 >	operator() (const std::array< T, 1 > &source_coords) const
std::optional< std::array< double, 1 > >	inverse (const std::array< double, 1 > &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 >, 1, Frame::NoFrame >	jacobian (const std::array< T, 1 > &source_coords) const
template<typename T >
tnsr::Ij< tt::remove_cvref_wrap_t< T >, 1, Frame::NoFrame >	inv_jacobian (const std::array< T, 1 > &source_coords) const
void	pup (PUP::er &p)
bool	is_identity () const

Static Public Attributes
static constexpr size_t	dim = 1

Friends
bool	operator== (const Affine &lhs, const Affine &rhs)

Detailed Description

Affine map from $\xi \in [A,B]\to x\in [a,b]$.

The formula for the mapping is...

$$x=\frac{b}{B-A}(\xi -A)+\frac{a}{B-A}(B-\xi )$$

$$\xi =\frac{B}{b-a}(x-a)+\frac{A}{b-a}(b-x)$$

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

• src/Domain/CoordinateMaps/Affine.hpp