#include <deal.II/base/function_cspline.h>

Inheritance diagram for Functions::CSpline< dim >:

Public Member Functions
	CSpline (const std::vector< double > &interpolation_points, const std::vector< double > &interpolation_values)

virtual	~CSpline () override

virtual double	value (const Point< dim > &point, const unsigned int component=0) const override

virtual Tensor< 1, dim >	gradient (const Point< dim > &p, const unsigned int component=0) const override

virtual SymmetricTensor< 2, dim >	hessian (const Point< dim > &p, const unsigned int component=0) const override

virtual double	laplacian (const Point< dim > &p, const unsigned int component=0) const override

Public Member Functions inherited from Function< dim >
	Function (const unsigned int n_components=1, const doubleinitial_time=0.0)

virtual	~Function () override=0

Function &	operator= (const Function &f)

virtual void	vector_value (const Point< dim > &p, Vector< double > &values) const

virtual void	value_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component=0) const

virtual void	vector_value_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) const

virtual void	vector_values (const std::vector< Point< dim >> &points, std::vector< std::vector< double >> &values) const

virtual void	vector_gradient (const Point< dim > &p, std::vector< Tensor< 1, dim, double >> &gradients) const

virtual void	gradient_list (const std::vector< Point< dim >> &points, std::vector< Tensor< 1, dim, double >> &gradients, const unsigned int component=0) const

virtual void	vector_gradients (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, double >>> &gradients) const

virtual void	vector_gradient_list (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, double >>> &gradients) const

virtual void	vector_laplacian (const Point< dim > &p, Vector< double > &values) const

virtual void	laplacian_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component=0) const

virtual void	vector_laplacian_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) const

virtual void	vector_hessian (const Point< dim > &p, std::vector< SymmetricTensor< 2, dim, double >> &values) const

virtual void	hessian_list (const std::vector< Point< dim >> &points, std::vector< SymmetricTensor< 2, dim, double >> &values, const unsigned int component=0) const

virtual void	vector_hessian_list (const std::vector< Point< dim >> &points, std::vector< std::vector< SymmetricTensor< 2, dim, double >>> &values) const

std::size_t	memory_consumption () const

Public Member Functions inherited from FunctionTime< Number >
	FunctionTime (const Number initial_time=Number(0.0))

virtual	~FunctionTime ()=default

Number	get_time () const

virtual void	set_time (const Number new_time)

virtual void	advance_time (const Number delta_t)

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

	Subscriptor (Subscriptor &&) noexcept

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

Subscriptor &	operator= (Subscriptor &&) noexcept

void	subscribe (const char *identifier=nullptr) const

void	unsubscribe (const char *identifier=nullptr) const

unsigned int	n_subscriptions () const

template<typename StreamType >
void	list_subscribers (StreamType &stream) const

void	list_subscribers () const

template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Private Attributes
const std::vector< double >	interpolation_points

const std::vector< double >	interpolation_values

gsl_interp_accel *	acc

gsl_spline *	cspline

Threads::Mutex	acc_mutex

Additional Inherited Members
Static Public Member Functions inherited from Subscriptor
static::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)

static::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)

Public Attributes inherited from Function< dim >
const unsigned int	n_components

Static Public Attributes inherited from Function< dim >
static const unsigned int	dimension

Detailed Description

template<int dim>
class Functions::CSpline< dim >

The cubic spline function using GNU Scientific Library. The resulting curve is piecewise cubic on each interval, with matching first and second derivatives at the supplied data-points. The second derivative is chosen to be zero at the first point and last point.

Note: This function is only implemented for dim==1 .

Author: Denis Davydov

Date: 2016

Definition at line 75 of file function_cspline.h.

Constructor & Destructor Documentation

template<int dim>

Functions::CSpline< dim >::CSpline	(	const std::vector< double > &	interpolation_points,
		const std::vector< double > &	interpolation_values
	)

Constructor which should be provided with a set of points at which interpolation is to be done interpolation_points and a set of function values interpolation_values .

Definition at line 27 of file function_cspline.cc.

template<int dim>

Functions::CSpline< dim >::~CSpline ( )

overridevirtual

Virtual destructor.

Definition at line 59 of file function_cspline.cc.

Member Function Documentation

template<int dim>

double Functions::CSpline< dim >::value	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)		const

overridevirtual

Return the value of the function at the given point. Unless there is only one component (i.e. the function is scalar), you should state the component you want to have evaluated; it defaults to zero, i.e. the first component.

Reimplemented from Function< dim >.

Definition at line 71 of file function_cspline.cc.

template<int dim>

Tensor< 1, dim > Functions::CSpline< dim >::gradient	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)		const

overridevirtual

Return the gradient of the specified component of the function at the given point.

Reimplemented from Function< dim >.

Definition at line 92 of file function_cspline.cc.

template<int dim>

SymmetricTensor< 2, dim > Functions::CSpline< dim >::hessian	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)		const

overridevirtual

Compute the Hessian of a given component at point p, that is the gradient of the gradient of the function.

Reimplemented from Function< dim >.

Definition at line 137 of file function_cspline.cc.

template<int dim>

double Functions::CSpline< dim >::laplacian	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)		const

overridevirtual

Compute the Laplacian of a given component at point p.

Reimplemented from Function< dim >.

Definition at line 116 of file function_cspline.cc.

Member Data Documentation

template<int dim>

const std::vector<double> Functions::CSpline< dim >::interpolation_points

private

Points at which interpolation is provided

Definition at line 114 of file function_cspline.h.

template<int dim>

const std::vector<double> Functions::CSpline< dim >::interpolation_values

private

Values of the function at interpolation points

Definition at line 119 of file function_cspline.h.

template<int dim>

gsl_interp_accel* Functions::CSpline< dim >::acc

private

GSL accelerator for spline interpolation

Definition at line 124 of file function_cspline.h.

template<int dim>

gsl_spline* Functions::CSpline< dim >::cspline

private

GSL cubic spline interpolator

Definition at line 129 of file function_cspline.h.

template<int dim>

Threads::Mutex Functions::CSpline< dim >::acc_mutex

mutableprivate

A mutex for accelerator object.

Definition at line 134 of file function_cspline.h.

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

deal.II/base/function_cspline.h
/mnt/data/darndt/Sources/dealii-clang-6.0.0/source/base/function_cspline.cc

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<int dim> class Functions::CSpline< dim >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<int dim>
class Functions::CSpline< dim >