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

A linear mapping. More...

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

List of all members.

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 &)
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
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

template<int cdim, int mydim>

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

template<int cdim, int mydim>

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

template<int cdim, int mydim>

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

template<int cdim, int mydim>

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

template<int cdim, int mydim>

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

template<int cdim, int mydim>

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

---

Constructor & Destructor Documentation

template<int cdim, int mydim>

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

(

)

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

template<int cdim, int mydim>

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

(

const LinearMapping< cdim, mydim > &

)

copy constructor

---

Member Function Documentation

template<int cdim, int mydim>

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

(

)

const [inline]

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 &
	)

Referenced by Dune::MyALUGridGeometryImplementation< cdim >::GeometryImpl< dummy, dim, eltype >::mapping(), Dune::MyALUGridGeometryImplementation< cdim >::GeometryImpl< dummy, 1, eltype >::mapping(), Dune::MyALUGridGeometryImplementation< cdim >::GeometryImpl< dummy, 2, tetra >::mapping(), and Dune::MyALUGridGeometryImplementation< cdim >::GeometryImpl< dummy, 3, tetra >::mapping().

template<int cdim, int mydim>

template<class vector_t >

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

template<int cdim, int mydim>

template<class vector_t >

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

template<int cdim, int mydim>

template<class vector_t >

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

(

const vector_t &

)

template<int cdim, int mydim>

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

(

const map_t &

)

const [protected]

template<int cdim, int mydim>

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

(

const map_t &

)

const

template<int cdim, int mydim>

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

(

const map_t &

)

const [protected]

template<int cdim, int mydim>

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

(

const map_t &

)

const [protected]

template<int cdim, int mydim>

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

(

const map_t &

)

const

template<int cdim, int mydim>

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

(

const map_t &

)

const

template<int cdim, int mydim>

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

template<int cdim, int mydim>

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

template<int cdim, int mydim>

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

template<int cdim, int mydim>

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

---

Member Data Documentation

template<int cdim, int mydim>

bool Dune::LinearMapping< cdim, mydim >::_calcedDet [mutable, protected]

true if determinant has been calculated

template<int cdim, int mydim>

bool Dune::LinearMapping< cdim, mydim >::_calcedInv [mutable, protected]

true if inverse has been calculated

template<int cdim, int mydim>

ctype Dune::LinearMapping< cdim, mydim >::_det [mutable, protected]

P[0].

stores the determinant of the inverse

template<int cdim, int mydim>

inv_t Dune::LinearMapping< cdim, mydim >::_invTransposed [mutable, protected]

storage for inverse of jacobian (transposed)

template<int cdim, int mydim>

matrix_t Dune::LinearMapping< cdim, mydim >::_matrix [protected]

transformation matrix (transposed)

template<int cdim, int mydim>

world_t Dune::LinearMapping< cdim, mydim >::_p0 [protected]

---

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

• mappings.hh