$F$ part of the Cebysev expansion for arbitrary kernels. More...

#include <cebysevK.hh>

Inheritance diagram for cluster::CebysevKF< K, Fspc >:

Collaboration diagram for cluster::CebysevKF< K, Fspc >:

Public Types
typedef Traits::Fkrnl	Fkrnl
typedef CebysevKFTraits< K >	Traits
Public Member Functions
void	apply (uint m, const FColExp *Fexp, const Fspc src[], Fspc dst[]) const
void	apply (uint m, const FColF< Fkrnl > Fexp[], const Fspc src[], Fspc dst[]) const
uint	blksz (uint m) const
	Size of memory used for the expansion.
void	ceby2poly (uint m, const concepts::Real3d &z, Fkrnl F[]) const
	Conversion from Cebysev to monomial basis of interpolation polynom.
	CebysevKF (K &krnl, uint m, concepts::Real eta)
	Constructor.
void	evaluate (uint m, const concepts::Real3d &z, FColF< Fkrnl > Fexp[]) const
void	evaluate (uint m, const concepts::Real3d &z, FColExp *Fexp) const
void	fit (uint m, const concepts::Real3d &z, Fkrnl F[]) const
	Interpolation.
virtual FColF< Fkrnl > *	getCol (uint blksz) const
	Allocates memory for the expansion coefficients.
uint	m () const
	Order of the expansion.
virtual	~CebysevKF ()
Private Member Functions
int	index_ (int ix, int iy, int iz) const
Private Attributes
concepts::Real **	cebysev_
	Values of the Cebysev polynomials.
Fkrnl *	d_
	Auxiliary vectors.
Fkrnl *	dd_
concepts::Real	eta_
	Interpolation coefficient.
Fkrnl *	kernel_
	values of the kernel function
K &	krnl_
	Kernel function.
uint	m_
	Expansion order.
concepts::Real *	x_
	Interpolation points.
concepts::Real *	y_
concepts::Real *	z_

Detailed Description

template<class K = bem::Laplace, class Fspc = concepts::Real>
class cluster::CebysevKF< K, Fspc >

$F$ part of the Cebysev expansion for arbitrary kernels.

Parameters:

K	Kernel function
Fspc	Field of the space (Real or Cmplx)

Definition at line 33 of file cebysevK.hh.

Member Typedef Documentation

template<class K = bem::Laplace, class Fspc = concepts::Real>

typedef Traits::Fkrnl cluster::CebysevKF< K, Fspc >::Fkrnl

Definition at line 36 of file cebysevK.hh.

template<class K = bem::Laplace, class Fspc = concepts::Real>

typedef CebysevKFTraits<K> cluster::CebysevKF< K, Fspc >::Traits

Definition at line 35 of file cebysevK.hh.

Constructor & Destructor Documentation

template<class K = bem::Laplace, class Fspc = concepts::Real>

cluster::CebysevKF< K, Fspc >::CebysevKF	(	K &	krnl,
		uint	m,
		concepts::Real	eta
	)

Constructor.

Parameters:

krnl	Kernel function
m	Expansion order
eta	Size of interpolation domain $0<\eta<1$

template<class K = bem::Laplace, class Fspc = concepts::Real>

virtual cluster::CebysevKF< K, Fspc >::~CebysevKF ( ) [virtual]

Member Function Documentation

template<class K , class Fspc >

void cluster::CebysevKF< K, Fspc >::apply	(	uint	m,
		const FColExp *	Fexp,
		const Fspc	src[],
		Fspc	dst[]
	)		const `[inline, virtual]`

Exceptions:

MissingFeature

Implements cluster::ExpansionF< Fspc >.

Definition at line 121 of file cebysevK.hh.

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template<class K = bem::Laplace, class Fspc = concepts::Real>

void cluster::CebysevKF< K, Fspc >::apply	(	uint	m,
		const FColF< Fkrnl >	Fexp[],
		const Fspc	src[],
		Fspc	dst[]
	)		const

template<class K = bem::Laplace, class Fspc = concepts::Real>

uint cluster::CebysevKF< K, Fspc >::blksz ( uint m ) const [inline, virtual]

Size of memory used for the expansion.

Parameters:

m	Expansion order

Implements cluster::ExpansionF< Fspc >.

Definition at line 69 of file cebysevK.hh.

template<class K = bem::Laplace, class Fspc = concepts::Real>

void cluster::CebysevKF< K, Fspc >::ceby2poly	(	uint	m,
		const concepts::Real3d &	z,
		Fkrnl	F[]
	)		const

Conversion from Cebysev to monomial basis of interpolation polynom.

template<class K , class Fspc >

void cluster::CebysevKF< K, Fspc >::evaluate	(	uint	m,
		const concepts::Real3d &	z,
		FColF< Fkrnl >	Fexp[]
	)		const `[inline]`

Definition at line 114 of file cebysevK.hh.

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template<class K , class Fspc >

void cluster::CebysevKF< K, Fspc >::evaluate	(	uint	m,
		const concepts::Real3d &	z,
		FColExp *	Fexp
	)		const `[inline, virtual]`

Exceptions:

MissingFeature

Implements cluster::ExpansionF< Fspc >.

Definition at line 100 of file cebysevK.hh.

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template<class K = bem::Laplace, class Fspc = concepts::Real>

void cluster::CebysevKF< K, Fspc >::fit	(	uint	m,
		const concepts::Real3d &	z,
		Fkrnl	F[]
	)		const

Interpolation.

template<class K = bem::Laplace, class Fspc = concepts::Real>

virtual FColF<Fkrnl>* cluster::CebysevKF< K, Fspc >::getCol ( uint blksz ) const [inline, virtual]

Allocates memory for the expansion coefficients.

Implements cluster::ExpansionF< Fspc >.

Definition at line 72 of file cebysevK.hh.

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template<class K , class Fspc >

int cluster::CebysevKF< K, Fspc >::index_	(	int	ix,
		int	iy,
		int	iz
	)		const `[inline, private]`

Definition at line 94 of file cebysevK.hh.

template<class K = bem::Laplace, class Fspc = concepts::Real>

uint cluster::CebysevKF< K, Fspc >::m ( ) const [inline, virtual]

Order of the expansion.

Implements cluster::ExpansionF< Fspc >.

Definition at line 70 of file cebysevK.hh.

Member Data Documentation

template<class K = bem::Laplace, class Fspc = concepts::Real>

concepts::Real** cluster::CebysevKF< K, Fspc >::cebysev_ [private]

Values of the Cebysev polynomials.

Definition at line 44 of file cebysevK.hh.

template<class K = bem::Laplace, class Fspc = concepts::Real>

Fkrnl* cluster::CebysevKF< K, Fspc >::d_ [private]

Auxiliary vectors.

Definition at line 54 of file cebysevK.hh.

template<class K = bem::Laplace, class Fspc = concepts::Real>

Fkrnl* cluster::CebysevKF< K, Fspc >::dd_ [private]

Definition at line 55 of file cebysevK.hh.

template<class K = bem::Laplace, class Fspc = concepts::Real>

concepts::Real cluster::CebysevKF< K, Fspc >::eta_ [private]

Interpolation coefficient.

Definition at line 42 of file cebysevK.hh.

template<class K = bem::Laplace, class Fspc = concepts::Real>

Fkrnl* cluster::CebysevKF< K, Fspc >::kernel_ [private]

values of the kernel function

Definition at line 50 of file cebysevK.hh.

template<class K = bem::Laplace, class Fspc = concepts::Real>

K& cluster::CebysevKF< K, Fspc >::krnl_ [private]

Kernel function.

Definition at line 52 of file cebysevK.hh.

template<class K = bem::Laplace, class Fspc = concepts::Real>

uint cluster::CebysevKF< K, Fspc >::m_ [private]

Expansion order.

Definition at line 40 of file cebysevK.hh.

template<class K = bem::Laplace, class Fspc = concepts::Real>

concepts::Real* cluster::CebysevKF< K, Fspc >::x_ [private]

Interpolation points.

Definition at line 46 of file cebysevK.hh.

template<class K = bem::Laplace, class Fspc = concepts::Real>

concepts::Real* cluster::CebysevKF< K, Fspc >::y_ [private]

Definition at line 47 of file cebysevK.hh.

template<class K = bem::Laplace, class Fspc = concepts::Real>

concepts::Real* cluster::CebysevKF< K, Fspc >::z_ [private]

Definition at line 48 of file cebysevK.hh.

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

cluster/cebysevK.hh

Public Types

Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

template<class K = bem::Laplace, class Fspc = concepts::Real> class cluster::CebysevKF< K, Fspc >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class K = bem::Laplace, class Fspc = concepts::Real>
class cluster::CebysevKF< K, Fspc >