Dune::BilinearMapping< cdim > Class Template Reference

A bilinear mapping. More...

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

Public Types
typedef alu3d_ctype	ctype
typedef FieldVector< ctype, cdim >	world_t
typedef FieldVector< ctype, 2 >	map_t
typedef FieldMatrix< ctype, 2, cdim >	matrix_t
typedef FieldMatrix< ctype, cdim, 2 >	inv_t

Public Member Functions
	BilinearMapping ()
	BilinearMapping (const world_t &p0, const world_t &p1, const world_t &p2, const world_t &p3)
	BilinearMapping (const ctype(&p0)[cdim], const ctype(&p1)[cdim], const ctype(&p2)[cdim], const ctype(&p3)[cdim])
bool	affine () const
void	world2map (const world_t &, map_t &) const
void	map2world (const ctype x, const ctype y, world_t &w) const
void	map2world (const map_t &, world_t &) const
ctype	det (const map_t &) const
const matrix_t &	jacobianTransposed (const map_t &) const
const inv_t &	jacobianInverseTransposed (const map_t &) const
template<class vector_t >
void	buildMapping (const vector_t &, const vector_t &, const vector_t &, const vector_t &)

Protected Member Functions
void	map2worldlinear (const ctype, const ctype) const
void	inverse (const map_t &) const

Static Protected Member Functions
static void	multTransposedMatrix (const matrix_t &, FieldMatrix< ctype, 2, 2 > &)
static void	multMatrix (const matrix_t &, const FieldMatrix< ctype, 2, 2 > &, inv_t &)

Protected Attributes
ctype	_b [4][cdim]
ctype	det_
matrix_t	matrix_
inv_t	invTransposed_
bool	affine_
bool	calcedMatrix_
bool	calcedDet_
bool	calcedInv_

Detailed Description

template<int cdim>
class Dune::BilinearMapping< cdim >

A bilinear mapping.

Member Typedef Documentation

template<int cdim>

typedef alu3d_ctype Dune::BilinearMapping< cdim >::ctype

template<int cdim>

typedef FieldMatrix< ctype, cdim, 2 > Dune::BilinearMapping< cdim >::inv_t

template<int cdim>

typedef FieldVector< ctype, 2 > Dune::BilinearMapping< cdim >::map_t

template<int cdim>

typedef FieldMatrix< ctype, 2, cdim > Dune::BilinearMapping< cdim >::matrix_t

template<int cdim>

typedef FieldVector< ctype, cdim > Dune::BilinearMapping< cdim >::world_t

Constructor & Destructor Documentation

template<int cdim>

Dune::BilinearMapping< cdim >::BilinearMapping

(

)

template<int cdim>

Dune::BilinearMapping< cdim >::BilinearMapping	(	const world_t &	p0,
		const world_t &	p1,
		const world_t &	p2,
		const world_t &	p3
	)

template<int cdim>

Dune::BilinearMapping< cdim >::BilinearMapping	(	const ctype(&)	p0[cdim],
		const ctype(&)	p1[cdim],
		const ctype(&)	p2[cdim],
		const ctype(&)	p3[cdim]
	)

Member Function Documentation

template<int cdim>

bool Dune::BilinearMapping< cdim >::affine

(

)

const

template<int cdim>

template<class vector_t >

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

template<int cdim>

ctype Dune::BilinearMapping< cdim >::det

(

const map_t &

)

const

template<int cdim>

void Dune::BilinearMapping< cdim >::inverse ( const map_t &  ) const

protected

template<int cdim>

const inv_t& Dune::BilinearMapping< cdim >::jacobianInverseTransposed

(

const map_t &

)

const

template<int cdim>

const matrix_t& Dune::BilinearMapping< cdim >::jacobianTransposed

(

const map_t &

)

const

template<int cdim>

void Dune::BilinearMapping< cdim >::map2world	(	const ctype	x,
		const ctype	y,
		world_t &	w
	)		const

template<int cdim>

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

template<int cdim>

void Dune::BilinearMapping< cdim >::map2worldlinear ( const ctype  , const ctype    ) const

protected

template<int cdim>

static void Dune::BilinearMapping< cdim >::multMatrix ( const matrix_t &  , const FieldMatrix< ctype, 2, 2 > &  , inv_t &    )

staticprotected

template<int cdim>

static void Dune::BilinearMapping< cdim >::multTransposedMatrix ( const matrix_t &  , FieldMatrix< ctype, 2, 2 > &    )

staticprotected

template<int cdim>

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

Member Data Documentation

template<int cdim>

ctype Dune::BilinearMapping< cdim >::_b[4][cdim]

protected

template<int cdim>

bool Dune::BilinearMapping< cdim >::affine_

mutableprotected

template<int cdim>

bool Dune::BilinearMapping< cdim >::calcedDet_

mutableprotected

template<int cdim>

bool Dune::BilinearMapping< cdim >::calcedInv_

mutableprotected

template<int cdim>

bool Dune::BilinearMapping< cdim >::calcedMatrix_

mutableprotected

template<int cdim>

ctype Dune::BilinearMapping< cdim >::det_

mutableprotected

template<int cdim>

inv_t Dune::BilinearMapping< cdim >::invTransposed_

mutableprotected

template<int cdim>

matrix_t Dune::BilinearMapping< cdim >::matrix_

mutableprotected

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

• mappings.hh