SpECTRE  2021.08.02
MathFunctions::Sinusoid< 1, Fr > Class Template Reference

Sinusoid \(f = A \sin\left(k x + \delta \right)\). More...

#include <Sinusoid.hpp>

Classes

struct  Amplitude
 
struct  Phase
 
struct  Wavenumber
 

Public Types

using options = tmpl::list< Amplitude, Wavenumber, Phase >
 
- Public Types inherited from MathFunction< 1, Fr >
using frame = Fr
 

Public Member Functions

 Sinusoid (double amplitude, double wavenumber, double phase) noexcept
 
 Sinusoid (const Sinusoid &)=delete
 
Sinusoidoperator= (const Sinusoid &)=delete
 
 Sinusoid (Sinusoid &&) noexcept=default
 
Sinusoidoperator= (Sinusoid &&) noexcept=default
 
 WRAPPED_PUPable_decl_base_template (SINGLE_ARG(MathFunction< 1, Fr >), Sinusoid)
 
 Sinusoid (CkMigrateMessage *) noexcept
 
double operator() (const double &x) const noexcept override
 Returns the function value at the coordinate 'x'. More...
 
DataVector operator() (const DataVector &x) const noexcept override
 
double first_deriv (const double &x) const noexcept override
 Returns the first derivative at 'x'. More...
 
DataVector first_deriv (const DataVector &x) const noexcept override
 
double second_deriv (const double &x) const noexcept override
 Returns the second derivative at 'x'. More...
 
DataVector second_deriv (const DataVector &x) const noexcept override
 
double third_deriv (const double &x) const noexcept override
 Returns the third derivative at 'x'. More...
 
DataVector third_deriv (const DataVector &x) const noexcept override
 
void pup (PUP::er &p) override
 
- Public Member Functions inherited from MathFunction< 1, Fr >
 WRAPPED_PUPable_abstract (MathFunction)
 
 MathFunction (const MathFunction &)=delete
 
MathFunctionoperator= (const MathFunction &)=delete
 
 MathFunction (MathFunction &&) noexcept=default
 
MathFunctionoperator= (MathFunction &&) noexcept=default
 
Scalar< double > operator() (const tnsr::I< double, 1, Fr > &x) const noexcept
 
Scalar< DataVectoroperator() (const tnsr::I< DataVector, 1, Fr > &x) const noexcept
 
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
 
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
 
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

static constexpr Options::String help
 
- Static Public Attributes inherited from MathFunction< 1, Fr >
constexpr static size_t volume_dim = 1
 

Friends

bool operator== (const Sinusoid &lhs, const Sinusoid &rhs) noexcept
 

Detailed Description

template<typename Fr>
class MathFunctions::Sinusoid< 1, Fr >

Sinusoid \(f = A \sin\left(k x + \delta \right)\).

Details

Input file options are: Amplitude, Phase, and Wavenumber

Member Function Documentation

◆ first_deriv() [1/2]

template<typename Fr >
DataVector MathFunctions::Sinusoid< 1, Fr >::first_deriv ( const DataVector x) const
overridevirtualnoexcept

Implements MathFunction< 1, Fr >.

◆ first_deriv() [2/2]

template<typename Fr >
double MathFunctions::Sinusoid< 1, Fr >::first_deriv ( const double &  x) const
overridevirtualnoexcept

Returns the first derivative at 'x'.

Implements MathFunction< 1, Fr >.

◆ operator()() [1/2]

template<typename Fr >
DataVector MathFunctions::Sinusoid< 1, Fr >::operator() ( const DataVector x) const
overridevirtualnoexcept

Implements MathFunction< 1, Fr >.

◆ operator()() [2/2]

template<typename Fr >
double MathFunctions::Sinusoid< 1, Fr >::operator() ( const double &  x) const
overridevirtualnoexcept

Returns the function value at the coordinate 'x'.

Implements MathFunction< 1, Fr >.

◆ second_deriv() [1/2]

template<typename Fr >
DataVector MathFunctions::Sinusoid< 1, Fr >::second_deriv ( const DataVector x) const
overridevirtualnoexcept

Implements MathFunction< 1, Fr >.

◆ second_deriv() [2/2]

template<typename Fr >
double MathFunctions::Sinusoid< 1, Fr >::second_deriv ( const double &  x) const
overridevirtualnoexcept

Returns the second derivative at 'x'.

Implements MathFunction< 1, Fr >.

◆ third_deriv() [1/2]

template<typename Fr >
DataVector MathFunctions::Sinusoid< 1, Fr >::third_deriv ( const DataVector x) const
overridevirtualnoexcept

Implements MathFunction< 1, Fr >.

◆ third_deriv() [2/2]

template<typename Fr >
double MathFunctions::Sinusoid< 1, Fr >::third_deriv ( const double &  x) const
overridevirtualnoexcept

Returns the third derivative at 'x'.

Implements MathFunction< 1, Fr >.

Member Data Documentation

◆ help

template<typename Fr >
constexpr Options::String MathFunctions::Sinusoid< 1, Fr >::help
staticconstexpr
Initial value:
= {
"Applies a Sinusoid function to the input value"}