Reference documentation for deal.II version 9.1.1
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Public Member Functions | Private Attributes | List of all members
Functions::CSpline< dim > Class Template Reference
Functions

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

Inheritance diagram for Functions::CSpline< dim >:
[legend]

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 time_type initial_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 (std::atomic< bool > *const validity, const std::string &identifier="") const
 
void unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") 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

- Public Types inherited from Function< dim >
using time_type = typename FunctionTime< typename numbers::NumberTraits< double >::real_type >::time_type
 
- Public Types inherited from FunctionTime< Number >
using time_type = Number
 
- 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 76 of file function_cspline.h.

Constructor & Destructor Documentation

◆ CSpline()

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.

◆ ~CSpline()

template<int dim>
Functions::CSpline< dim >::~CSpline ( )
overridevirtual

Virtual destructor.

Definition at line 59 of file function_cspline.cc.

Member Function Documentation

◆ value()

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.

◆ gradient()

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.

◆ hessian()

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.

◆ laplacian()

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

◆ interpolation_points

template<int dim>
const std::vector<double> Functions::CSpline< dim >::interpolation_points
private

Points at which interpolation is provided

Definition at line 115 of file function_cspline.h.

◆ interpolation_values

template<int dim>
const std::vector<double> Functions::CSpline< dim >::interpolation_values
private

Values of the function at interpolation points

Definition at line 120 of file function_cspline.h.

◆ acc

template<int dim>
gsl_interp_accel* Functions::CSpline< dim >::acc
private

GSL accelerator for spline interpolation

Definition at line 125 of file function_cspline.h.

◆ cspline

template<int dim>
gsl_spline* Functions::CSpline< dim >::cspline
private

GSL cubic spline interpolator

Definition at line 130 of file function_cspline.h.

◆ acc_mutex

template<int dim>
Threads::Mutex Functions::CSpline< dim >::acc_mutex
mutableprivate

A mutex for accelerator object.

Definition at line 135 of file function_cspline.h.

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