numeric::interpolation::spline::TricubicSpline Class Reference

#include <TricubicSpline.hh>

Public Member Functions
	TricubicSpline ()
	construct generic BicubicSpline More...
TricubicSpline *	Clone () const
	copy constructor More...
MathTensor< Real > const &	get_dsecox () const
	get the second order derivatives of the spline More...
MathTensor< Real > const &	get_dsecoy () const
MathTensor< Real > const &	get_dsecoz () const
MathTensor< Real > const &	get_dsecoxy () const
MathTensor< Real > const &	get_dsecoxz () const
MathTensor< Real > const &	get_dsecoyz () const
MathTensor< Real > const &	get_dsecoxyz () const
Real	F (Real x, Real y, Real z) const
	return value at certain (x, y, z) More...
Real	dFdx (Real x, Real y, Real z) const
	return partial derivative at certain (x, y, z) for x More...
Real	dFdy (Real x, Real y, Real z) const
	return partial derivative at certain (x, y, z) for y More...
Real	dFdz (Real x, Real y, Real z) const
	return partial derivative at certain (x, y, z) for z More...
void	train (const BorderFlag BORDER[3], const double START[3], const double DELTA[3], const MathTensor< Real > &RESULTS, const bool LINCONT[3], const std::pair< Real, Real > FIRSTBE[3])
	train TricubicSpline More...

Private Attributes
BorderFlag	border_ [3]
	controls the behavior at x/y_0 and x/y_dim-1 More...
Real	start_ [3]
Real	delta_ [3]
	gives the arguments as a sequence of equidistant points More...
MathTensor< Real >	values_
	f(x,y,z) More...
MathTensor< Real >	dsecox_
	second order derivatives for x – d**2/dx**2 f(x,y,z) More...
MathTensor< Real >	dsecoy_
	second order derivatives for y More...
MathTensor< Real >	dsecoxy_
	second order derivatives for x and y More...
MathTensor< Real >	dsecoz_
	second order derivatives for z More...
MathTensor< Real >	dsecoxz_
	second order derivatives for xz More...
MathTensor< Real >	dsecoyz_
	second order derivatives for yz More...
MathTensor< Real >	dsecoxyz_
	second order derivatives for x y and z More...
std::pair< Real, Real >	firstbe_ [3]
	first order derivative at x_0/dim-1, y_0/dim-1, z_0/dim-1 can be set for BorderFlag FIRSTDER More...
bool	LinCont_ [3]
	if the argument x is outside the range decide if the spline should be continued linearly More...

Constructor & Destructor Documentation

TricubicSpline()

numeric::interpolation::spline::TricubicSpline::TricubicSpline ( )

inline

construct generic BicubicSpline

Referenced by Clone().

Member Function Documentation

Clone()

TricubicSpline* numeric::interpolation::spline::TricubicSpline::Clone ( ) const

inline

copy constructor

References TricubicSpline().

dFdx()

double numeric::interpolation::spline::TricubicSpline::dFdx	(	Real	x,
		Real	y,
		Real	z
	)		const

return partial derivative at certain (x, y, z) for x

Returns

partial derivative at (x, y, z) for x

References border_, delta_, dsecox_, dsecoxy_, dsecoxyz_, dsecoxz_, dsecoy_, dsecoyz_, dsecoz_, numeric::interpolation::spline::e_Periodic, create_a3b_hbs::i, create_a3b_hbs::j, create_a3b_hbs::k, numeric::interpolation::spline::sqr(), start_, values_, x, predPRE::y, and predPRE::z.

Referenced by F().

dFdy()

double numeric::interpolation::spline::TricubicSpline::dFdy	(	Real	x,
		Real	y,
		Real	z
	)		const

return partial derivative at certain (x, y, z) for y

Returns

partial derivative at (x, y, z) for y

References border_, delta_, dsecox_, dsecoxy_, dsecoxyz_, dsecoxz_, dsecoy_, dsecoyz_, dsecoz_, numeric::interpolation::spline::e_Periodic, create_a3b_hbs::i, create_a3b_hbs::j, create_a3b_hbs::k, numeric::interpolation::spline::sqr(), start_, values_, x, predPRE::y, and predPRE::z.

Referenced by F().

dFdz()

double numeric::interpolation::spline::TricubicSpline::dFdz	(	Real	x,
		Real	y,
		Real	z
	)		const

return partial derivative at certain (x, y, z) for z

Returns

partial derivative at (x, y, z) for z

References border_, delta_, dsecox_, dsecoxy_, dsecoxyz_, dsecoxz_, dsecoy_, dsecoyz_, dsecoz_, numeric::interpolation::spline::e_Periodic, create_a3b_hbs::i, create_a3b_hbs::j, create_a3b_hbs::k, numeric::interpolation::spline::sqr(), start_, values_, x, predPRE::y, and predPRE::z.

Referenced by F().

F()

double numeric::interpolation::spline::TricubicSpline::F	(	Real	x,
		Real	y,
		Real	z
	)		const

return value at certain (x, y, z)

Returns

value at (x, y)

References border_, delta_, dFdx(), dFdy(), dFdz(), dsecox_, dsecoxy_, dsecoxyz_, dsecoxz_, dsecoy_, dsecoyz_, dsecoz_, numeric::interpolation::spline::e_Periodic, create_a3b_hbs::i, create_a3b_hbs::j, create_a3b_hbs::k, numeric::interpolation::spline::sqr(), start_, values_, x, predPRE::y, and predPRE::z.

get_dsecox()

MathTensor< Real> const& numeric::interpolation::spline::TricubicSpline::get_dsecox ( ) const

inline

get the second order derivatives of the spline

References dsecox_.

get_dsecoxy()

MathTensor< Real> const& numeric::interpolation::spline::TricubicSpline::get_dsecoxy ( ) const

inline

References dsecoxy_.

get_dsecoxyz()

MathTensor< Real> const& numeric::interpolation::spline::TricubicSpline::get_dsecoxyz ( ) const

inline

References dsecoxyz_.

get_dsecoxz()

MathTensor< Real> const& numeric::interpolation::spline::TricubicSpline::get_dsecoxz ( ) const

inline

References dsecoxz_.

get_dsecoy()

MathTensor< Real> const& numeric::interpolation::spline::TricubicSpline::get_dsecoy ( ) const

inline

References dsecoy_.

get_dsecoyz()

MathTensor< Real> const& numeric::interpolation::spline::TricubicSpline::get_dsecoyz ( ) const

inline

References dsecoyz_.

get_dsecoz()

MathTensor< Real> const& numeric::interpolation::spline::TricubicSpline::get_dsecoz ( ) const

inline

References dsecoz_.

train()

void numeric::interpolation::spline::TricubicSpline::train	(	const BorderFlag	BORDER[3],
		const double	START[3],
		const double	DELTA[3],
		const MathTensor< Real > &	RESULTS,
		const bool	LINCONT[3],
		const std::pair< Real, Real >	FIRSTBE[3]
	)

train TricubicSpline

Returns

value and derivative at (x, y)

References border_, lactamize::cs, delta_, dsecox_, dsecoxy_, dsecoxyz_, dsecoxz_, dsecoy_, dsecoyz_, dsecoz_, firstbe_, numeric::interpolation::spline::BicubicSpline::get_dsecox(), numeric::interpolation::spline::CubicSpline::get_dsecox(), numeric::interpolation::spline::BicubicSpline::get_dsecoxy(), numeric::interpolation::spline::BicubicSpline::get_dsecoy(), basic::options::OptionKeys::flxbb::layer::layer, LinCont_, numeric::MathTensor< T >::ncols(), numeric::MathTensor< T >::nlayers(), numeric::MathTensor< T >::nrows(), dummy-distribution::row, basic::options::OptionKeys::cutoutdomain::start, start_, numeric::interpolation::spline::CubicSpline::train(), numeric::interpolation::spline::BicubicSpline::train(), test.T040_Types::values, and values_.

Member Data Documentation

border_

BorderFlag numeric::interpolation::spline::TricubicSpline::border_[3]

private

controls the behavior at x/y_0 and x/y_dim-1

Referenced by dFdx(), dFdy(), dFdz(), F(), and train().

delta_

Real numeric::interpolation::spline::TricubicSpline::delta_[3]

private

gives the arguments as a sequence of equidistant points

Referenced by dFdx(), dFdy(), dFdz(), F(), and train().

dsecox_

MathTensor< Real> numeric::interpolation::spline::TricubicSpline::dsecox_

private

second order derivatives for x – d**2/dx**2 f(x,y,z)

Referenced by dFdx(), dFdy(), dFdz(), F(), get_dsecox(), and train().

dsecoxy_

MathTensor< Real> numeric::interpolation::spline::TricubicSpline::dsecoxy_

private

second order derivatives for x and y

Referenced by dFdx(), dFdy(), dFdz(), F(), get_dsecoxy(), and train().

dsecoxyz_

MathTensor< Real> numeric::interpolation::spline::TricubicSpline::dsecoxyz_

private

second order derivatives for x y and z

Referenced by dFdx(), dFdy(), dFdz(), F(), get_dsecoxyz(), and train().

dsecoxz_

MathTensor< Real> numeric::interpolation::spline::TricubicSpline::dsecoxz_

private

second order derivatives for xz

Referenced by dFdx(), dFdy(), dFdz(), F(), get_dsecoxz(), and train().

dsecoy_

MathTensor< Real> numeric::interpolation::spline::TricubicSpline::dsecoy_

private

second order derivatives for y

Referenced by dFdx(), dFdy(), dFdz(), F(), get_dsecoy(), and train().

dsecoyz_

MathTensor< Real> numeric::interpolation::spline::TricubicSpline::dsecoyz_

private

second order derivatives for yz

Referenced by dFdx(), dFdy(), dFdz(), F(), get_dsecoyz(), and train().

dsecoz_

MathTensor< Real> numeric::interpolation::spline::TricubicSpline::dsecoz_

private

second order derivatives for z

Referenced by dFdx(), dFdy(), dFdz(), F(), get_dsecoz(), and train().

firstbe_

std::pair< Real, Real> numeric::interpolation::spline::TricubicSpline::firstbe_[3]

private

first order derivative at x_0/dim-1, y_0/dim-1, z_0/dim-1 can be set for BorderFlag FIRSTDER

Referenced by train().

LinCont_

bool numeric::interpolation::spline::TricubicSpline::LinCont_[3]

private

if the argument x is outside the range decide if the spline should be continued linearly

Referenced by train().

start_

Real numeric::interpolation::spline::TricubicSpline::start_[3]

private

Referenced by dFdx(), dFdy(), dFdz(), F(), and train().

values_

MathTensor< Real> numeric::interpolation::spline::TricubicSpline::values_

private

f(x,y,z)

Referenced by dFdx(), dFdy(), dFdz(), F(), and train().

---

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

• src/numeric/interpolation/spline/TricubicSpline.hh
• src/numeric/interpolation/spline/TricubicSpline.cc