Dune::LinearMapping< cdim, mydim > Class Template Reference

A linear mapping. More...

#include <dune/alugrid/3d/mappings.hh>

Inheritance diagram for Dune::LinearMapping< cdim, mydim >:

Public Types
typedef alu3d_ctype	ctype
typedef ctype	double_t[cdim]
typedef FieldVector< ctype, cdim >	world_t
typedef FieldVector< ctype, mydim >	map_t
typedef FieldMatrix< ctype, mydim, cdim >	matrix_t
typedef FieldMatrix< ctype, cdim, mydim >	inv_t

Public Member Functions
	LinearMapping ()
	Constructor creating empty mapping with double , i.e. zero.
	LinearMapping (const LinearMapping &)
	copy constructor
bool	affine () const
const matrix_t &	jacobianTransposed (const map_t &) const
const inv_t &	jacobianInverseTransposed (const map_t &) const
ctype	det (const map_t &) const
void	world2map (const world_t &, map_t &) const
void	map2world (const map_t &, world_t &) const
template<class vector_t >
void	buildMapping (const vector_t &, const vector_t &, const vector_t &, const vector_t &)
template<class vector_t >
void	buildMapping (const vector_t &, const vector_t &, const vector_t &)
template<class vector_t >
void	buildMapping (const vector_t &, const vector_t &)
template<class vector_t >
void	buildMapping (const vector_t &)
alu_inline void	buildMapping (const vector_t &p0, const vector_t &p1, const vector_t &p2, const vector_t &p3)
alu_inline void	buildMapping (const vector_t &p0, const vector_t &p1, const vector_t &p2)
template<class vector_t >
alu_inline void	buildMapping (const vector_t &p0, const vector_t &p1)
alu_inline void	buildMapping (const vector_t &p0, const vector_t &p1, const vector_t &p2)
alu_inline void	buildMapping (const vector_t &p0, const vector_t &p1)
alu_inline void	buildMapping (const vector_t &p0)
alu_inline void	buildMapping (const vector_t &p0)
alu_inline const LinearMapping< 3, 0 >::inv_t &	jacobianInverseTransposed (const map_t &) const
alu_inline const LinearMapping< 2, 0 >::inv_t &	jacobianInverseTransposed (const map_t &) const

Protected Member Functions
void	inverse (const map_t &) const
void	inverseCodimOne (const map_t &) const
void	calculateDeterminant (const map_t &) const
void	multTransposedMatrix (const matrix_t &matrix, FieldMatrix< ctype, mydim, mydim > &result) const
void	multMatrix (const matrix_t &A, const FieldMatrix< ctype, mydim, mydim > &B, inv_t &ret) const
alu_inline void	inverse (const map_t &) const
alu_inline void	inverse (const map_t &) const
alu_inline void	inverse (const map_t &local) const
alu_inline void	inverse (const map_t &local) const
alu_inline void	inverseCodimOne (const map_t &) const
alu_inline void	inverseCodimOne (const map_t &) const
alu_inline void	calculateDeterminant (const map_t &) const
alu_inline void	inverse (const map_t &) const
alu_inline void	calculateDeterminant (const map_t &) const
alu_inline void	calculateDeterminant (const map_t &) const

Protected Attributes
matrix_t	_matrix
	transformation matrix (transposed)
inv_t	_invTransposed
	storage for inverse of jacobian (transposed)
world_t	_p0
ctype	_det
	P[0].
bool	_calcedInv
	true if inverse has been calculated
bool	_calcedDet
	true if determinant has been calculated

Detailed Description

template<int cdim, int mydim>
class Dune::LinearMapping< cdim, mydim >

A linear mapping.

Member Typedef Documentation

ctype

template<int cdim, int mydim>

typedef alu3d_ctype Dune::LinearMapping< cdim, mydim >::ctype

double_t

template<int cdim, int mydim>

typedef ctype Dune::LinearMapping< cdim, mydim >::double_t[cdim]

inv_t

template<int cdim, int mydim>

typedef FieldMatrix< ctype, cdim, mydim > Dune::LinearMapping< cdim, mydim >::inv_t

map_t

template<int cdim, int mydim>

typedef FieldVector< ctype, mydim > Dune::LinearMapping< cdim, mydim >::map_t

matrix_t

template<int cdim, int mydim>

typedef FieldMatrix< ctype, mydim, cdim > Dune::LinearMapping< cdim, mydim >::matrix_t

world_t

template<int cdim, int mydim>

typedef FieldVector< ctype, cdim > Dune::LinearMapping< cdim, mydim >::world_t

Constructor & Destructor Documentation

LinearMapping() [1/2]

template<int cdim, int mydim>

alu_inline Dune::LinearMapping< cdim, mydim >::LinearMapping

Constructor creating empty mapping with double , i.e. zero.

LinearMapping() [2/2]

template<int cdim, int mydim>

alu_inline Dune::LinearMapping< cdim, mydim >::LinearMapping

(

const LinearMapping< cdim, mydim > &

m

)

copy constructor

Member Function Documentation

affine()

template<int cdim, int mydim>

bool Dune::LinearMapping< cdim, mydim >::affine ( ) const

inline

buildMapping() [1/11]

template<int cdim, int mydim>

template<class vector_t >

void Dune::LinearMapping< cdim, mydim >::buildMapping

(

const vector_t &

)

buildMapping() [2/11]

template<int cdim, int mydim>

template<class vector_t >

void Dune::LinearMapping< cdim, mydim >::buildMapping	(	const vector_t &	,
		const vector_t &
	)

buildMapping() [3/11]

template<int cdim, int mydim>

template<class vector_t >

void Dune::LinearMapping< cdim, mydim >::buildMapping	(	const vector_t &	,
		const vector_t &	,
		const vector_t &
	)

buildMapping() [4/11]

template<int cdim, int mydim>

template<class vector_t >

void Dune::LinearMapping< cdim, mydim >::buildMapping	(	const vector_t &	,
		const vector_t &	,
		const vector_t &	,
		const vector_t &
	)

buildMapping() [5/11]

alu_inline void Dune::LinearMapping< 2, 0 >::buildMapping

(

const vector_t &

p0

)

buildMapping() [6/11]

alu_inline void Dune::LinearMapping< 3, 0 >::buildMapping

(

const vector_t &

p0

)

buildMapping() [7/11]

template<int cdim, int mydim>

template<class vector_t >

alu_inline void Dune::LinearMapping< cdim, mydim >::buildMapping	(	const vector_t &	p0,
		const vector_t &	p1
	)

buildMapping() [8/11]

alu_inline void Dune::LinearMapping< 2, 1 >::buildMapping	(	const vector_t &	p0,
		const vector_t &	p1
	)

buildMapping() [9/11]

alu_inline void Dune::LinearMapping< 3, 2 >::buildMapping	(	const vector_t &	p0,
		const vector_t &	p1,
		const vector_t &	p2
	)

buildMapping() [10/11]

alu_inline void Dune::LinearMapping< 2, 2 >::buildMapping	(	const vector_t &	p0,
		const vector_t &	p1,
		const vector_t &	p2
	)

buildMapping() [11/11]

alu_inline void Dune::LinearMapping< 3, 3 >::buildMapping	(	const vector_t &	p0,
		const vector_t &	p1,
		const vector_t &	p2,
		const vector_t &	p3
	)

calculateDeterminant() [1/4]

template<int cdim, int mydim>

alu_inline void Dune::LinearMapping< cdim, mydim >::calculateDeterminant ( const map_t &  local ) const

protected

calculateDeterminant() [2/4]

alu_inline void Dune::LinearMapping< 3, 2 >::calculateDeterminant ( const map_t &  ) const

protected

temporary memory

temporary memory

calculateDeterminant() [3/4]

alu_inline void Dune::LinearMapping< 3, 1 >::calculateDeterminant ( const map_t &  ) const

protected

calculateDeterminant() [4/4]

alu_inline void Dune::LinearMapping< 2, 1 >::calculateDeterminant ( const map_t &  ) const

protected

det()

template<int cdim, int mydim>

alu_inline LinearMapping< cdim, mydim >::ctype Dune::LinearMapping< cdim, mydim >::det

(

const map_t &

local

)

const

inverse() [1/6]

template<int cdim, int mydim>

alu_inline void Dune::LinearMapping< cdim, mydim >::inverse ( const map_t &  local ) const

protected

inverse() [2/6]

alu_inline void Dune::LinearMapping< 3, 0 >::inverse ( const map_t &  ) const

protected

inverse() [3/6]

alu_inline void Dune::LinearMapping< 2, 0 >::inverse ( const map_t &  ) const

protected

inverse() [4/6]

alu_inline void Dune::LinearMapping< 3, 1 >::inverse ( const map_t &  ) const

protected

inverse() [5/6]

alu_inline void Dune::LinearMapping< 3, 2 >::inverse ( const map_t &  local ) const

protected

inverse() [6/6]

alu_inline void Dune::LinearMapping< 2, 1 >::inverse ( const map_t &  local ) const

protected

inverseCodimOne() [1/3]

template<int cdim, int mydim>

alu_inline void Dune::LinearMapping< cdim, mydim >::inverseCodimOne ( const map_t &  ) const

protected

inverseCodimOne() [2/3]

alu_inline void Dune::LinearMapping< 3, 0 >::inverseCodimOne ( const map_t &  ) const

protected

inverseCodimOne() [3/3]

alu_inline void Dune::LinearMapping< 2, 0 >::inverseCodimOne ( const map_t &  ) const

protected

jacobianInverseTransposed() [1/3]

template<int cdim, int mydim>

alu_inline const LinearMapping< cdim, mydim >::inv_t & Dune::LinearMapping< cdim, mydim >::jacobianInverseTransposed

(

const map_t &

local

)

const

jacobianInverseTransposed() [2/3]

alu_inline const LinearMapping< 3, 0 >::inv_t & Dune::LinearMapping< 3, 0 >::jacobianInverseTransposed

(

const map_t &

)

const

jacobianInverseTransposed() [3/3]

alu_inline const LinearMapping< 2, 0 >::inv_t & Dune::LinearMapping< 2, 0 >::jacobianInverseTransposed

(

const map_t &

)

const

jacobianTransposed()

template<int cdim, int mydim>

alu_inline const LinearMapping< cdim, mydim >::matrix_t & Dune::LinearMapping< cdim, mydim >::jacobianTransposed

(

const map_t &

local

)

const

map2world()

template<int cdim, int mydim>

alu_inline void Dune::LinearMapping< cdim, mydim >::map2world	(	const map_t &	local,
		world_t &	global
	)		const

multMatrix()

template<int cdim, int mydim>

alu_inline void Dune::LinearMapping< cdim, mydim >::multMatrix ( const matrix_t &  A, const FieldMatrix< ctype, mydim, mydim > &  B, inv_t &  ret  ) const

protected

calculates ret = A * B

multTransposedMatrix()

template<int cdim, int mydim>

alu_inline void Dune::LinearMapping< cdim, mydim >::multTransposedMatrix ( const matrix_t &  matrix, FieldMatrix< ctype, mydim, mydim > &  result  ) const

protected

world2map()

template<int cdim, int mydim>

alu_inline void Dune::LinearMapping< cdim, mydim >::world2map	(	const world_t &	global,
		map_t &	local
	)		const

Member Data Documentation

_calcedDet

template<int cdim, int mydim>

bool Dune::LinearMapping< cdim, mydim >::_calcedDet

mutableprotected

true if determinant has been calculated

_calcedInv

template<int cdim, int mydim>

bool Dune::LinearMapping< cdim, mydim >::_calcedInv

mutableprotected

true if inverse has been calculated

_det

template<int cdim, int mydim>

ctype Dune::LinearMapping< cdim, mydim >::_det

mutableprotected

P[0].

stores the determinant of the inverse

_invTransposed

template<int cdim, int mydim>

inv_t Dune::LinearMapping< cdim, mydim >::_invTransposed

mutableprotected

storage for inverse of jacobian (transposed)

_matrix

template<int cdim, int mydim>

matrix_t Dune::LinearMapping< cdim, mydim >::_matrix

protected

transformation matrix (transposed)

_p0

template<int cdim, int mydim>

world_t Dune::LinearMapping< cdim, mydim >::_p0

protected

---

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

• mappings.hh
• mappings_imp.cc