ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl > Class Template Reference

Base class for Reference mappings helping to implement interface. More...

#include <reference_mapping.h>

Public Member Functions
void	global_to_local (MathVector< dim > &locPos, const MathVector< worldDim > &globPos, const size_t maxIter=1000, const number tol=1e-10) const
	map global coordinate to local coordinate
void	global_to_local (MathVector< dim > *vLocPos, const MathVector< worldDim > *vGlobPos, size_t n, const size_t maxIter=1000, const number tol=1e-10) const
	map global coordinate to local coordinate for n local positions
void	global_to_local (std::vector< MathVector< dim > > &vLocPos, const std::vector< MathVector< worldDim > > &vGlobPos, const size_t maxIter=1000, const number tol=1e-10) const
	map global coordinate to local coordinate for a vector of local positions
bool	is_linear () const
	returns if mapping is affine
void	jacobian (MathMatrix< worldDim, dim > &J, const MathVector< dim > &locPos) const
	returns jacobian
void	jacobian (MathMatrix< worldDim, dim > *vJ, const MathVector< dim > *vLocPos, size_t n) const
	returns jacobian for n local positions
void	jacobian (std::vector< MathMatrix< worldDim, dim > > &vJ, const std::vector< MathVector< dim > > &vLocPos) const
	returns jacobian for a vector of local positions
void	jacobian_transposed (MathMatrix< dim, worldDim > *vJT, const MathVector< dim > *vLocPos, size_t n) const
	returns transposed of jacobian for n local positions
void	jacobian_transposed (std::vector< MathMatrix< dim, worldDim > > &vJT, const std::vector< MathVector< dim > > &vLocPos) const
	returns transposed of jacobian for a vector of positions
number	jacobian_transposed_inverse (MathMatrix< worldDim, dim > &JTInv, const MathVector< dim > &locPos) const
	returns transposed of the inverse of the jacobian
void	jacobian_transposed_inverse (MathMatrix< worldDim, dim > *vJTInv, const MathVector< dim > *vLocPos, size_t n) const
	returns transposed of the inverse of the jacobian for n local positions
void	jacobian_transposed_inverse (MathMatrix< worldDim, dim > *vJTInv, number *vDet, const MathVector< dim > *vLocPos, size_t n) const
	returns transposed of the inverse of the jacobian for n local positions
void	jacobian_transposed_inverse (std::vector< MathMatrix< worldDim, dim > > &vJTInv, const std::vector< MathVector< dim > > &vLocPos) const
	returns transposed of the inverse of the jacobian for a vector of positions
void	jacobian_transposed_inverse (std::vector< MathMatrix< worldDim, dim > > &vJTInv, std::vector< number > &vDet, const std::vector< MathVector< dim > > &vLocPos) const
	returns transposed of the inverse of the jacobian for a vector of positions
void	local_to_global (MathVector< worldDim > *vGlobPos, const MathVector< dim > *vLocPos, size_t n) const
	map local coordinate to global coordinate for n local positions
void	local_to_global (std::vector< MathVector< worldDim > > &vGlobPos, const std::vector< MathVector< dim > > &vLocPos) const
	map local coordinate to global coordinate for a vector of local positions
number	sqrt_gram_det (const MathVector< dim > &locPos) const
	returns the determinate of the jacobian
void	sqrt_gram_det (number *vDet, const MathVector< dim > *vLocPos, size_t n) const
	returns the determinate of the jacobian for n local positions
void	sqrt_gram_det (std::vector< number > &vDet, const std::vector< MathVector< dim > > &vLocPos) const
	returns the determinate of the jacobian for a vector of local positions

Protected Member Functions
TImpl &	getImpl ()
	access to implementation
const TImpl &	getImpl () const
	const access to implementation

Detailed Description

template<int dim, int worldDim, bool isLinear, typename TImpl>
class ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >

Base class for Reference mappings helping to implement interface.

Member Function Documentation

getImpl() [1/2]

template<int dim, int worldDim, bool isLinear, typename TImpl >

TImpl & ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::getImpl ( )

inlineprotected

access to implementation

Referenced by ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::global_to_local(), ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::global_to_local(), ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian(), ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian(), ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed(), ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed_inverse(), ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed_inverse(), ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed_inverse(), ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::local_to_global(), and ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::sqrt_gram_det().

getImpl() [2/2]

template<int dim, int worldDim, bool isLinear, typename TImpl >

const TImpl & ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::getImpl ( ) const

inlineprotected

const access to implementation

global_to_local() [1/3]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::global_to_local ( MathVector< dim > &  locPos, const MathVector< worldDim > &  globPos, const size_t  maxIter = 1000, const number  tol = 1e-10  ) const

inline

map global coordinate to local coordinate

Parameters

locPos	(o) for the computed local coordinates (i) specify the initial guess!
globPos	(i) the global coordinates to transform
maxIter	(i) maximum number of the Newton iterations
tol	(i) tolerance (smalles possible correction in the Newton iterations)

References ug::DID_REFERENCE_MAPPING_GLOB_TO_LOC, ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::getImpl(), ug::LeftInverse(), ug::MatVecMult(), UG_COND_THROW, UG_DLOG, UG_THROW, ug::VecAbsIsLess(), ug::VecScale(), ug::VecSubtract(), and ug::VecTwoNorm().

Referenced by ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::global_to_local().

global_to_local() [2/3]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::global_to_local ( MathVector< dim > *  vLocPos, const MathVector< worldDim > *  vGlobPos, size_t  n, const size_t  maxIter = 1000, const number  tol = 1e-10  ) const

inline

map global coordinate to local coordinate for n local positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::getImpl(), ug::LeftInverse(), ug::MatVecScaleMultAppend(), and ug::VecSubtract().

global_to_local() [3/3]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::global_to_local ( std::vector< MathVector< dim > > &  vLocPos, const std::vector< MathVector< worldDim > > &  vGlobPos, const size_t  maxIter = 1000, const number  tol = 1e-10  ) const

inline

map global coordinate to local coordinate for a vector of local positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::global_to_local().

is_linear()

template<int dim, int worldDim, bool isLinear, typename TImpl >

bool ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::is_linear ( ) const

inline

returns if mapping is affine

jacobian() [1/3]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian ( MathMatrix< worldDim, dim > &  J, const MathVector< dim > &  locPos  ) const

inline

returns jacobian

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::getImpl(), and ug::Transpose().

Referenced by ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian().

jacobian() [2/3]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian ( MathMatrix< worldDim, dim > *  vJ, const MathVector< dim > *  vLocPos, size_t  n  ) const

inline

returns jacobian for n local positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::getImpl().

jacobian() [3/3]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian ( std::vector< MathMatrix< worldDim, dim > > &  vJ, const std::vector< MathVector< dim > > &  vLocPos  ) const

inline

returns jacobian for a vector of local positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian().

jacobian_transposed() [1/2]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed ( MathMatrix< dim, worldDim > *  vJT, const MathVector< dim > *  vLocPos, size_t  n  ) const

inline

returns transposed of jacobian for n local positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::getImpl().

Referenced by ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed().

jacobian_transposed() [2/2]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed ( std::vector< MathMatrix< dim, worldDim > > &  vJT, const std::vector< MathVector< dim > > &  vLocPos  ) const

inline

returns transposed of jacobian for a vector of positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed().

jacobian_transposed_inverse() [1/5]

template<int dim, int worldDim, bool isLinear, typename TImpl >

number ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed_inverse ( MathMatrix< worldDim, dim > &  JTInv, const MathVector< dim > &  locPos  ) const

inline

returns transposed of the inverse of the jacobian

References ug::DID_REFERENCE_MAPPING, ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::getImpl(), ug::RightInverse(), and UG_DLOG.

Referenced by ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed_inverse(), and ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed_inverse().

jacobian_transposed_inverse() [2/5]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed_inverse ( MathMatrix< worldDim, dim > *  vJTInv, const MathVector< dim > *  vLocPos, size_t  n  ) const

inline

returns transposed of the inverse of the jacobian for n local positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::getImpl().

jacobian_transposed_inverse() [3/5]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed_inverse ( MathMatrix< worldDim, dim > *  vJTInv, number *  vDet, const MathVector< dim > *  vLocPos, size_t  n  ) const

inline

returns transposed of the inverse of the jacobian for n local positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::getImpl().

jacobian_transposed_inverse() [4/5]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed_inverse ( std::vector< MathMatrix< worldDim, dim > > &  vJTInv, const std::vector< MathVector< dim > > &  vLocPos  ) const

inline

returns transposed of the inverse of the jacobian for a vector of positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed_inverse().

jacobian_transposed_inverse() [5/5]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed_inverse ( std::vector< MathMatrix< worldDim, dim > > &  vJTInv, std::vector< number > &  vDet, const std::vector< MathVector< dim > > &  vLocPos  ) const

inline

returns transposed of the inverse of the jacobian for a vector of positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::jacobian_transposed_inverse().

local_to_global() [1/2]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::local_to_global ( MathVector< worldDim > *  vGlobPos, const MathVector< dim > *  vLocPos, size_t  n  ) const

inline

map local coordinate to global coordinate for n local positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::getImpl().

Referenced by ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::local_to_global().

local_to_global() [2/2]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::local_to_global ( std::vector< MathVector< worldDim > > &  vGlobPos, const std::vector< MathVector< dim > > &  vLocPos  ) const

inline

map local coordinate to global coordinate for a vector of local positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::local_to_global().

sqrt_gram_det() [1/3]

template<int dim, int worldDim, bool isLinear, typename TImpl >

number ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::sqrt_gram_det ( const MathVector< dim > &  locPos ) const

inline

returns the determinate of the jacobian

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::getImpl(), and ug::SqrtGramDeterminant().

Referenced by ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::sqrt_gram_det(), and ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::sqrt_gram_det().

sqrt_gram_det() [2/3]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::sqrt_gram_det ( number *  vDet, const MathVector< dim > *  vLocPos, size_t  n  ) const

inline

returns the determinate of the jacobian for n local positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::sqrt_gram_det().

sqrt_gram_det() [3/3]

template<int dim, int worldDim, bool isLinear, typename TImpl >

void ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::sqrt_gram_det ( std::vector< number > &  vDet, const std::vector< MathVector< dim > > &  vLocPos  ) const

inline

returns the determinate of the jacobian for a vector of local positions

References ug::BaseReferenceMapping< dim, worldDim, isLinear, TImpl >::sqrt_gram_det().

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

• ugbase/lib_disc/reference_element/reference_mapping.h