MathFunction< VolumeDim, Fr > Class Template Reference

#include <MathFunction.hpp>

Public Types
using	frame = Fr

Public Member Functions
	WRAPPED_PUPable_abstract (MathFunction)
	MathFunction (const MathFunction &)=delete
MathFunction &	operator= (const MathFunction &)=delete
	MathFunction (MathFunction &&) noexcept=default
MathFunction &	operator= (MathFunction &&) noexcept=default
virtual Scalar< double >	operator() (const tnsr::I< double, VolumeDim, Fr > &x) const noexcept=0
	Returns the value of the function at the coordinate 'x'. More...
virtual Scalar< DataVector >	operator() (const tnsr::I< DataVector, VolumeDim, Fr > &x) const noexcept=0
	Returns the value of the function at the coordinate 'x'. More...
virtual tnsr::i< double, VolumeDim, Fr >	first_deriv (const tnsr::I< double, VolumeDim, Fr > &x) const noexcept=0
	Returns the first partial derivatives of the function at 'x'. More...
virtual tnsr::i< DataVector, VolumeDim, Fr >	first_deriv (const tnsr::I< DataVector, VolumeDim, Fr > &x) const noexcept=0
	Returns the first partial derivatives of the function at 'x'. More...
virtual tnsr::ii< double, VolumeDim, Fr >	second_deriv (const tnsr::I< double, VolumeDim, Fr > &x) const noexcept=0
	Returns the second partial derivatives of the function at 'x'. More...
virtual tnsr::ii< DataVector, VolumeDim, Fr >	second_deriv (const tnsr::I< DataVector, VolumeDim, Fr > &x) const noexcept=0
	Returns the second partial derivatives of the function at 'x'. More...
virtual tnsr::iii< double, VolumeDim, Fr >	third_deriv (const tnsr::I< double, VolumeDim, Fr > &x) const noexcept=0
	Returns the third partial derivatives of the function at 'x'. More...
virtual tnsr::iii< DataVector, VolumeDim, Fr >	third_deriv (const tnsr::I< DataVector, VolumeDim, Fr > &x) const noexcept=0
	Returns the third partial derivatives of the function at 'x'. More...

Static Public Attributes
constexpr static size_t	volume_dim = VolumeDim

Detailed Description

template<size_t VolumeDim, typename Fr>
class MathFunction< VolumeDim, Fr >

Encodes a function \(R^n \to R\) where n is VolumeDim.

Encodes a function \(R^n \to R\) where n is VolumeDim and where the function input (i.e., the spatial coordinates) is given as a rank-1 tensor.

Member Function Documentation

first_deriv() [1/2]

template<size_t VolumeDim, typename Fr >

virtual tnsr::i< DataVector, VolumeDim, Fr > MathFunction< VolumeDim, Fr >::first_deriv ( const tnsr::I< DataVector, VolumeDim, Fr > &  x ) const

pure virtualnoexcept

Returns the first partial derivatives of the function at 'x'.

Implemented in MathFunctions::Gaussian< VolumeDim, Fr >.

first_deriv() [2/2]

template<size_t VolumeDim, typename Fr >

virtual tnsr::i< double, VolumeDim, Fr > MathFunction< VolumeDim, Fr >::first_deriv ( const tnsr::I< double, VolumeDim, Fr > &  x ) const

pure virtualnoexcept

Returns the first partial derivatives of the function at 'x'.

Implemented in MathFunctions::Gaussian< VolumeDim, Fr >.

operator()() [1/2]

template<size_t VolumeDim, typename Fr >

virtual Scalar< DataVector > MathFunction< VolumeDim, Fr >::operator() ( const tnsr::I< DataVector, VolumeDim, Fr > &  x ) const

pure virtualnoexcept

Returns the value of the function at the coordinate 'x'.

Implemented in MathFunctions::Gaussian< VolumeDim, Fr >.

operator()() [2/2]

template<size_t VolumeDim, typename Fr >

virtual Scalar< double > MathFunction< VolumeDim, Fr >::operator() ( const tnsr::I< double, VolumeDim, Fr > &  x ) const

pure virtualnoexcept

Returns the value of the function at the coordinate 'x'.

Implemented in MathFunctions::Gaussian< VolumeDim, Fr >.

second_deriv() [1/2]

template<size_t VolumeDim, typename Fr >

virtual tnsr::ii< DataVector, VolumeDim, Fr > MathFunction< VolumeDim, Fr >::second_deriv ( const tnsr::I< DataVector, VolumeDim, Fr > &  x ) const

pure virtualnoexcept

Returns the second partial derivatives of the function at 'x'.

Implemented in MathFunctions::Gaussian< VolumeDim, Fr >.

second_deriv() [2/2]

template<size_t VolumeDim, typename Fr >

virtual tnsr::ii< double, VolumeDim, Fr > MathFunction< VolumeDim, Fr >::second_deriv ( const tnsr::I< double, VolumeDim, Fr > &  x ) const

pure virtualnoexcept

Returns the second partial derivatives of the function at 'x'.

Implemented in MathFunctions::Gaussian< VolumeDim, Fr >.

third_deriv() [1/2]

template<size_t VolumeDim, typename Fr >

virtual tnsr::iii< DataVector, VolumeDim, Fr > MathFunction< VolumeDim, Fr >::third_deriv ( const tnsr::I< DataVector, VolumeDim, Fr > &  x ) const

pure virtualnoexcept

Returns the third partial derivatives of the function at 'x'.

Implemented in MathFunctions::Gaussian< VolumeDim, Fr >.

third_deriv() [2/2]

template<size_t VolumeDim, typename Fr >

virtual tnsr::iii< double, VolumeDim, Fr > MathFunction< VolumeDim, Fr >::third_deriv ( const tnsr::I< double, VolumeDim, Fr > &  x ) const

pure virtualnoexcept

Returns the third partial derivatives of the function at 'x'.

Implemented in MathFunctions::Gaussian< VolumeDim, Fr >.