MathFunction< 1, 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 double	operator() (const double &x) const noexcept=0
	Returns the function value at the coordinate 'x'. More...
virtual DataVector	operator() (const DataVector &x) const noexcept=0
Scalar< double >	operator() (const tnsr::I< double, 1, Fr > &x) const noexcept
Scalar< DataVector >	operator() (const tnsr::I< DataVector, 1, Fr > &x) const noexcept
virtual double	first_deriv (const double &x) const noexcept=0
	Returns the first derivative at 'x'. More...
virtual DataVector	first_deriv (const DataVector &x) const noexcept=0
tnsr::i< double, 1, Fr >	first_deriv (const tnsr::I< double, 1, Fr > &x) const noexcept
tnsr::i< DataVector, 1, Fr >	first_deriv (const tnsr::I< DataVector, 1, Fr > &x) const noexcept
virtual double	second_deriv (const double &x) const noexcept=0
	Returns the second derivative at 'x'. More...
virtual DataVector	second_deriv (const DataVector &x) const noexcept=0
tnsr::ii< double, 1, Fr >	second_deriv (const tnsr::I< double, 1, Fr > &x) const noexcept
tnsr::ii< DataVector, 1, Fr >	second_deriv (const tnsr::I< DataVector, 1, Fr > &x) const noexcept
virtual double	third_deriv (const double &x) const noexcept=0
	Returns the third derivative at 'x'. More...
virtual DataVector	third_deriv (const DataVector &x) const noexcept=0
tnsr::iii< double, 1, Fr >	third_deriv (const tnsr::I< double, 1, Fr > &x) const noexcept
tnsr::iii< DataVector, 1, Fr >	third_deriv (const tnsr::I< DataVector, 1, Fr > &x) const noexcept

Static Public Attributes
constexpr static size_t	volume_dim = 1

Detailed Description

template<typename Fr>
class MathFunction< 1, Fr >

Partial template specialization of MathFunction which encodes a function \(R \to R\). In this 1D specialization, the input and output can be Tensors, doubles, or DataVectors.

Member Function Documentation

first_deriv()

template<typename Fr >

virtual double MathFunction< 1, Fr >::first_deriv ( const double &  x ) const

pure virtualnoexcept

Returns the first derivative at 'x'.

Implemented in MathFunctions::Gaussian< 1, Fr >, MathFunctions::PowX< 1, Fr >, and MathFunctions::Sinusoid< 1, Fr >.

operator()()

template<typename Fr >

virtual double MathFunction< 1, Fr >::operator() ( const double &  x ) const

pure virtualnoexcept

Returns the function value at the coordinate 'x'.

Implemented in MathFunctions::Gaussian< 1, Fr >, MathFunctions::PowX< 1, Fr >, and MathFunctions::Sinusoid< 1, Fr >.

second_deriv()

template<typename Fr >

virtual double MathFunction< 1, Fr >::second_deriv ( const double &  x ) const

pure virtualnoexcept

Returns the second derivative at 'x'.

Implemented in MathFunctions::Gaussian< 1, Fr >, MathFunctions::PowX< 1, Fr >, and MathFunctions::Sinusoid< 1, Fr >.

third_deriv()

template<typename Fr >

virtual double MathFunction< 1, Fr >::third_deriv ( const double &  x ) const

pure virtualnoexcept

Returns the third derivative at 'x'.

Implemented in MathFunctions::Gaussian< 1, Fr >, MathFunctions::PowX< 1, Fr >, and MathFunctions::Sinusoid< 1, Fr >.