#include <Cubic_spline.hh>

Public Member Functions
	CubicSpline ()
	construct generic CubicSpline More...

CubicSpline *	clone () const
	copy constructor More...

CubicSpline &	train (const BorderFlag BORDER, const Real START, const Real DELTA, const MathVector< Real > &RESULTS, const std::pair< Real, Real > &FIRSTBE)

Real	F (const Real &ARGUMENT) const
	return value at certain ARGUMENT More...

Real	sqr (const Real x) const

Real	dF (const Real &ARGUMENT) const
	return derivative at ARGUMENT More...

std::pair< Real, Real >	FdF (const double &ARGUMENT) const
	return value and derivative at ARGUMENT More...

MathVector< Real > const &	get_dsecox () const
	get the second order derivatives of the spline More...

Real	get_start () const
	access to the start value More...

Real	get_delta () const
	access to the delta value More...

const MathVector< Real > &	get_values () const
	access to the values More...

Private Member Functions
Real	Function (const int INDEX_LEFT, const int INDEX_RIGHT, const Real DXP) const
	calculate function between two cells More...

Real	Derivative (const int INDEX_LEFT, const int INDEX_RIGHT, const Real DXP) const
	calculate derivative between two cells More...

Private Attributes
BorderFlag	border_
	controls the behavior at x_0 and x_dim-1 More...

Real	start_

Real	delta_
	gives the arguments as a sequence of equidistant points More...

MathVector< Real >	values_
	f(x) More...

MathVector< Real >	dsecox_
	second order derivatives More...

Constructor & Destructor Documentation

numeric::interpolation::spline::CubicSpline::CubicSpline ( )

inline

construct generic CubicSpline

Referenced by clone().

Member Function Documentation

CubicSpline* numeric::interpolation::spline::CubicSpline::clone ( ) const

inline

copy constructor

References CubicSpline().

Real numeric::interpolation::spline::CubicSpline::Derivative	(	const int	INDEX_LEFT,
		const int	INDEX_RIGHT,
		const Real	DXP
	)		const

private

calculate derivative between two cells

Parameters

INDEX_LEFT	index of left grid point
INDEX_RIGHT	index of right grid point
DXP	relative distance from left grid point, must be element [0, 1]

Returns: derivative depending on relative distance DXP

References delta_, dsecox_, and values_.

Referenced by dF(), and F().

Real numeric::interpolation::spline::CubicSpline::dF ( const Real & ARGUMENT ) const

return derivative at ARGUMENT

return derivative at certain ARGUMENT

Parameters

ARGUMENT x value

Returns: derivative at ARGUMENT

References border_, delta_, Derivative(), numeric::interpolation::spline::e_Periodic, basic::options::OptionKeys::cutoutdomain::end, numeric::MathVector< T >::size(), start_, and values_.

Referenced by FdF().

Real numeric::interpolation::spline::CubicSpline::F ( const Real & ARGUMENT ) const

return value at certain ARGUMENT

Parameters

ARGUMENT x value

Returns: function value at ARGUMENT

References border_, delta_, Derivative(), numeric::interpolation::spline::e_Periodic, basic::options::OptionKeys::cutoutdomain::end, Function(), numeric::MathVector< T >::size(), start_, and values_.

Referenced by FdF().

std::pair< Real, Real > numeric::interpolation::spline::CubicSpline::FdF ( const double & ARGUMENT ) const

return value and derivative at ARGUMENT

return derivative and value at certain ARGUMENT

Parameters

ARGUMENT x value

Returns: value and derivative at ARGUMENT

References dF(), and F().

Real numeric::interpolation::spline::CubicSpline::Function	(	const int	INDEX_LEFT,
		const int	INDEX_RIGHT,
		const Real	DXP
	)		const

private

calculate function between two cells

Parameters

INDEX_LEFT	index of left grid point
INDEX_RIGHT	index of right grid point
DXP	relative distance from left grid point, must be element [0, 1]

Returns: function depending on relative distance DXP

References delta_, dsecox_, sqr(), and values_.

Referenced by F().

Real numeric::interpolation::spline::CubicSpline::get_delta ( ) const

inline

access to the delta value

Returns: the distance between two support points of the spline

References delta_.

MathVector< Real> const& numeric::interpolation::spline::CubicSpline::get_dsecox ( ) const

inline

get the second order derivatives of the spline

Returns: the second order derivatives at the support points of the spline

References dsecox_.

Referenced by numeric::interpolation::spline::TricubicSpline::train(), and numeric::interpolation::spline::BicubicSpline::train().

Real numeric::interpolation::spline::CubicSpline::get_start ( ) const

inline

access to the start value

Returns: the start of the interval the spline is defined on

References start_.

const MathVector< Real>& numeric::interpolation::spline::CubicSpline::get_values ( ) const

inline

access to the values

Returns: the function values at the support points of the spline

References values_.

Real numeric::interpolation::spline::CubicSpline::sqr ( const Real x ) const

inline

Referenced by Function().

CubicSpline & numeric::interpolation::spline::CubicSpline::train	(	const BorderFlag	BORDER,
		const Real	START,
		const Real	DELTA,
		const MathVector< Real > &	RESULTS,
		const std::pair< Real, Real > &	FIRSTBE
	)