Implements an affine transformation between points in parameter space. Topology Utility. More...

#include <pzmganalysis.h>

Inheritance diagram for TPZTransform< T >:

Collaboration diagram for TPZTransform< T >:

Public Member Functions
	TPZTransform (int dim)
	Storage the matrix objects use to avoid. More...

	TPZTransform ()
	Default constructor. More...

	TPZTransform (int fRow, int fCol)
	Constructor of the transformation with rectangular matrix. More...

	TPZTransform (const TPZTransform< T > &tr)
	Copy constructor. More...

	~TPZTransform ()
	Default destructor. More...

TPZTransform< T > &	operator= (const TPZTransform< T > &t)
	Overloading equal operator for transformation. More...

void	CopyFrom (const TPZTransform< REAL > &cp)
	Create a copy form a real transformation. More...

const TPZFMatrix< T > &	Mult () const

const TPZFMatrix< T > &	Sum () const

TPZFMatrix< T > &	Mult ()

TPZFMatrix< T > &	Sum ()

void	SetMatrix (TPZFMatrix< T > &mult, TPZFMatrix< T > &sum)
	Sets the transformation matrices. More...

TPZTransform< T >	Multiply (TPZTransform< T > &right)
	Multiply the transformation object (to the right) with right (Multiplying matrices) More...

void	Apply (TPZVec< T > &vectorin, TPZVec< T > &vectorout)
	Transforms the vector. More...

void	PrintInputForm (std::ostream &out)

int	CompareTransform (TPZTransform< T > &t, REAL tol=1.e-6)
	Compare the current transformation with t transformation considering a given tolerance. More...

int	ClassId () const override
	Define the class id associated with the class. More...

void	Read (TPZStream &buf, void *context) override
	read objects from the stream More...

void	Write (TPZStream &buf, int withclassid) const override
	Writes this object to the TPZStream buffer. Include the classid if withclassid = true. More...

Public Member Functions inherited from TPZSavable
	TPZSavable ()

virtual	~TPZSavable ()

virtual std::list< std::map< std::string, uint64_t > >	VersionHistory () const

virtual std::pair< std::string, uint64_t >	Version () const

virtual bool	Compare (TPZSavable *copy, bool override=false)
	Compares the object for identity with the object pointed to, eventually copy the object. More...

virtual bool	Compare (TPZSavable *copy, bool override=false) const
	Compares the object for identity with the object pointed to, eventually copy the object. More...

Public Member Functions inherited from TPZRegisterClassId
template<typename T >
	TPZRegisterClassId (int(T::*)() const)

	TPZRegisterClassId ()=default

Private Attributes
int	fRow
	Number of rows of the matrix associated with the transformation. More...

int	fCol
	Number of columns of the matrix associated with the transformation. More...

TPZFNMatrix< 9, T >	fMult
	Matrix used by multiplications. More...

TPZFNMatrix< 3, T >	fSum
	Matrix used by sums. More...

Friends
class	TPZTransform< REAL >
	Rows of transformation matrix. More...

Additional Inherited Members
Static Public Member Functions inherited from TPZSavable
static std::set< TPZRestoreClassBase * > &	RestoreClassSet ()
	This static function guarantees that the gMap object is available when needed. More...

static std::map< int, TPZRestore_t > &	ClassIdMap ()
	This static function guarantees that the gMap object is available when needed. More...

static std::pair< std::string, uint64_t >	NeoPZVersion ()

static void	Register (TPZRestoreClassBase *restore)

static void	RegisterClassId (int classid, TPZRestore_t fun)

static TPZSavable *	CreateInstance (const int &classId)

Detailed Description

template<class T = REAL>
class TPZTransform< T >

Implements an affine transformation between points in parameter space. Topology Utility.

Definition at line 14 of file pzmganalysis.h.

Constructor & Destructor Documentation

◆ TPZTransform() [1/4]

template<class T >

TPZTransform< T >::TPZTransform ( int dim )

Storage the matrix objects use to avoid.

Constructor of the transformation with square matrix

Definition at line 16 of file pztrnsform.cpp.

References TPZTransform< T >::fCol, TPZTransform< T >::fMult, TPZTransform< T >::fRow, TPZTransform< T >::fSum, and TPZFMatrix< TVar >::Zero().

◆ TPZTransform() [2/4]

template<class T >

TPZTransform< T >::TPZTransform ( )

Default constructor.

Definition at line 31 of file pztrnsform.cpp.

References TPZTransform< T >::fCol, and TPZTransform< T >::fRow.

◆ TPZTransform() [3/4]

template<class T >

TPZTransform< T >::TPZTransform	(	int	fRow,
		int	fCol
	)

Constructor of the transformation with rectangular matrix.

Definition at line 40 of file pztrnsform.cpp.

References TPZTransform< T >::fCol, TPZTransform< T >::fMult, TPZTransform< T >::fRow, TPZTransform< T >::fSum, and TPZFMatrix< TVar >::Zero().

◆ TPZTransform() [4/4]

template<class T >

TPZTransform< T >::TPZTransform ( const TPZTransform< T > & tr )

Copy constructor.

Definition at line 54 of file pztrnsform.cpp.

References TPZTransform< T >::fCol, and TPZTransform< T >::fRow.

◆ ~TPZTransform()

template<class T >

TPZTransform< T >::~TPZTransform ( )

Default destructor.

Definition at line 79 of file pztrnsform.cpp.

References TPZTransform< T >::fCol, TPZTransform< T >::fMult, TPZTransform< T >::fRow, TPZTransform< T >::fSum, and TPZFMatrix< TVar >::Resize().

Member Function Documentation

◆ Apply()

template<class T >

void TPZTransform< T >::Apply	(	TPZVec< T > &	vectorin,
		TPZVec< T > &	vectorout
	)

Transforms the vector.

Definition at line 121 of file pztrnsform.cpp.

References DebugStop, TPZTransform< T >::fCol, TPZTransform< T >::fMult, TPZTransform< T >::fRow, TPZTransform< T >::fSum, and TPZVec< T >::size().

Referenced by TPZInterpolationSpace::BuildTransferMatrix(), TPZInterpolatedElement::BuildTransferMatrix(), TPZInterfaceElement::CalcResidual(), TPZInterfaceElement::CalcStiff(), TPZGeoElSide::CenterPoint(), CheckElement(), TPZInterpolatedElement::CheckElementConsistency(), TPZCheckGeom::CheckNeighbourMap(), TPZCheckGeom::CheckSideTransform(), TPZCheckGeom::CheckSubFatherTransform(), CompareFluxes(), TPZInterfaceElement::ComputeErrorFace(), TPZGeoEl::ComputeParamTrans(), TPZRefPattern::ComputeParamTransform(), TPZGeoEl::ComputeXInverse(), TPZRefPatternTools::DragModelPatNodes(), TPZMGAnalysis::ElementError(), TPZGeoElSide::GradX(), TPZInterpolationSpace::IntegrateSolution(), TPZInterpolationSpace::InterpolateSolution(), TPZGeoElSide::Jacobian(), TPZInterfaceElement::MapQsi(), pzgeom::TPZGeoBlend< TGeo >::MapToNeighSide(), pztopology::Pr< TFather >::MapToSide(), pztopology::TPZCube::MapToSide(), pztopology::TPZLine::MapToSide(), pztopology::TPZQuadrilateral::MapToSide(), TPZRefPatternTools::PairMeshesCornerNodesMatchingCoordinates(), TPZRefPatternTools::PairMeshesNodesMatchingCoordinates(), ProjectBissectionInParametricDomain(), ProjectInParametricDomain(), TPZGeoEl::ProjectPoint(), TPZGeoElSide::QsiElement(), TPZGeoElMapped< TBase >::SetFatherIndex(), Shape(), TPZMultiphysicsInterfaceElement::Solution(), TPZTransform< T >::Sum(), TPZRefPatternTools::TransformationTest(), TPZGeoEl::TransformSonToFather(), and TPZGeoEl::WhichSide().

◆ ClassId()

template<class T = REAL>

int TPZTransform< T >::ClassId ( ) const

inlineoverridevirtual

Define the class id associated with the class.

This id has to be unique for all classes A non unique id is flagged at the startup of the program

Implements TPZSavable.

Definition at line 86 of file pztrnsform.h.

References Hash().

◆ CompareTransform()

template<class T >

int TPZTransform< T >::CompareTransform	(	TPZTransform< T > &	t,
		REAL	tol = `1.e-6`
	)

Compare the current transformation with t transformation considering a given tolerance.

Definition at line 163 of file pztrnsform.cpp.

References fabs, TPZTransform< T >::fCol, TPZTransform< T >::fMult, TPZTransform< T >::fRow, and TPZTransform< T >::fSum.

Referenced by TPZCheckRestraint::CheckRestraint(), TPZCheckGeom::CheckSubFatherTransform(), TPZRefPattern::FindRefPattern(), and TPZTransform< T >::Sum().

◆ CopyFrom()

template<class T >

void TPZTransform< T >::CopyFrom ( const TPZTransform< REAL > & cp )

Create a copy form a real transformation.

Definition at line 62 of file pztrnsform.cpp.

References TPZTransform< T >::fCol, TPZTransform< T >::fMult, TPZTransform< T >::fRow, TPZTransform< T >::fSum, TPZFMatrix< TVar >::GetVal(), and TPZFMatrix< TVar >::Resize().

Referenced by TPZGeoElSide::GradX(), pztopology::TPZCube::MapToSide(), pztopology::TPZLine::MapToSide(), pztopology::TPZQuadrilateral::MapToSide(), and pzgeom::TPZGeoBlend< TGeo >::TransfBetweenNeigh().

◆ Mult() [1/2]

template<class T = REAL>

const TPZFMatrix<T>& TPZTransform< T >::Mult ( ) const

inline

Definition at line 64 of file pztrnsform.h.

References TPZTransform< T >::fMult.

Referenced by TPZInterpolatedElement::CompareShapeF(), GetSideTransform(), pzrefine::TPZRefTriangle::GetTransform(), pzrefine::TPZRefQuad::GetTransform(), pzrefine::TPZRefPyramid::GetTransform(), pzrefine::TPZRefCube::GetTransform(), pzrefine::TPZRefLinear::GetTransform(), pzrefine::TPZRefPrism::GetTransform(), pzrefine::TPZRefTetrahedra::GetTransform(), TPZGeoElSide::GradX(), TPZGeoElSide::Jacobian(), pzgeom::TPZGeoBlend< TGeo >::MapToNeighSide(), pztopology::Pr< TFather >::MapToSide(), pztopology::TPZCube::MapToSide(), pztopology::TPZLine::MapToSide(), pztopology::TPZQuadrilateral::MapToSide(), TPZGeoElSide::NeighbourSideTransform(), pzshape::TPZShapeTriang::ParametricTransform(), pzshape::TPZShapeQuad::ParametricTransform(), pzshape::TPZShapeLinear::ParametricTransform(), PYBIND11_MODULE(), Shape(), pztopology::TPZPyramid::SideToSideTransform(), pztopology::TPZCube::SideToSideTransform(), pztopology::TPZLine::SideToSideTransform(), pztopology::TPZPrism::SideToSideTransform(), pztopology::TPZTetrahedron::SideToSideTransform(), pztopology::TPZTriangle::SideToSideTransform(), pztopology::TPZQuadrilateral::SideToSideTransform(), pztopology::Pr< TFather >::TransformElementToSide(), pztopology::TPZPyramid::TransformElementToSide(), pztopology::TPZCube::TransformElementToSide(), pztopology::TPZPrism::TransformElementToSide(), pztopology::TPZLine::TransformElementToSide(), pztopology::TPZTetrahedron::TransformElementToSide(), pztopology::TPZTriangle::TransformElementToSide(), pztopology::TPZQuadrilateral::TransformElementToSide(), pztopology::Pr< TFather >::TransformSideToElement(), pztopology::TPZPyramid::TransformSideToElement(), pztopology::TPZCube::TransformSideToElement(), pztopology::TPZLine::TransformSideToElement(), pztopology::TPZPrism::TransformSideToElement(), pztopology::TPZTetrahedron::TransformSideToElement(), pztopology::TPZTriangle::TransformSideToElement(), and pztopology::TPZQuadrilateral::TransformSideToElement().

◆ Mult() [2/2]

template<class T = REAL>

TPZFMatrix<T>& TPZTransform< T >::Mult ( )

inline

Definition at line 68 of file pztrnsform.h.

References TPZTransform< T >::fMult.

◆ Multiply()

template<class T >

TPZTransform< T > TPZTransform< T >::Multiply ( TPZTransform< T > & right )

Multiply the transformation object (to the right) with right (Multiplying matrices)

Definition at line 112 of file pztrnsform.cpp.

References TPZTransform< T >::fCol, TPZTransform< T >::fMult, TPZTransform< T >::fRow, TPZTransform< T >::fSum, TPZMatrix< TVar >::Multiply(), and test::res.

Referenced by TPZGeoElRefLess< TGeo >::BuildTransform2(), TPZMultiphysicsInterfaceElement::CalcStiff(), TPZSBFemVolume::ComputeKMatrices(), TPZInterfaceElement::ComputeSideTransform(), TPZMultiphysicsInterfaceElement::ComputeSideTransform(), TPZInterpolationSpace::IntegrateSolution(), TPZGeoEl::Projection(), TPZGeoElMapped< TBase >::SetFatherIndex(), pztopology::Pr< TFather >::SideToSideTransform(), TPZGeoElSide::SideTransform3(), and TPZTransform< T >::Sum().

◆ operator=()

template<class T >

TPZTransform< T > & TPZTransform< T >::operator= ( const TPZTransform< T > & t )

Overloading equal operator for transformation.

Definition at line 87 of file pztrnsform.cpp.

References TPZTransform< T >::fCol, TPZTransform< T >::fMult, TPZTransform< T >::fRow, and TPZTransform< T >::fSum.

◆ PrintInputForm()

template<class T = REAL>

void TPZTransform< T >::PrintInputForm ( std::ostream & out )

Definition at line 140 of file pztrnsform.cpp.

References TPZTransform< T >::fCol, TPZTransform< T >::fMult, TPZTransform< T >::fRow, and TPZTransform< T >::fSum.

Referenced by TPZCheckGeom::CheckSubFatherTransform(), and TPZTransform< T >::Sum().

◆ Read()

template<class T = REAL>

void TPZTransform< T >::Read	(	TPZStream &	buf,
		void *	context
	)

inlineoverridevirtual

read objects from the stream

Reimplemented from TPZSavable.

Definition at line 90 of file pztrnsform.h.

References TPZStream::Read(), and TPZFNMatrix< N, TVar >::Read().

Referenced by pzgeom::TPZGeoBlend< TGeo >::Read(), and TPZRefPattern::Read().

◆ SetMatrix()

template<class T >

void TPZTransform< T >::SetMatrix	(	TPZFMatrix< T > &	mult,
		TPZFMatrix< T > &	sum
	)

Sets the transformation matrices.

Definition at line 96 of file pztrnsform.cpp.

References TPZMatrix< TVar >::Cols(), DebugStop, TPZTransform< T >::fCol, TPZTransform< T >::fMult, TPZTransform< T >::fRow, TPZTransform< T >::fSum, and TPZMatrix< TVar >::Rows().

Referenced by TPZGeoEl::ComputeParamTrans(), TPZRefPattern::ComputeParamTransform(), and TPZTransform< T >::Sum().

◆ Sum() [1/2]

template<class T = REAL>

const TPZFMatrix<T>& TPZTransform< T >::Sum ( ) const

inline

Definition at line 66 of file pztrnsform.h.

References TPZTransform< T >::fSum.

◆ Sum() [2/2]

template<class T = REAL>

TPZFMatrix<T>& TPZTransform< T >::Sum ( )

inline

Definition at line 70 of file pztrnsform.h.

References TPZTransform< T >::Apply(), TPZTransform< T >::CompareTransform(), TPZTransform< T >::fSum, TPZTransform< T >::Multiply(), TPZTransform< T >::PrintInputForm(), TPZTransform< T >::SetMatrix(), and pzgeom::tol.

◆ Write()

template<class T = REAL>

void TPZTransform< T >::Write	(	TPZStream &	buf,
		int	withclassid
	)		const

inlineoverridevirtual

Writes this object to the TPZStream buffer. Include the classid if withclassid = true.

Writes this object to the TPZStream buffer. Include the classid if withclassid = true

Reimplemented from TPZSavable.

Definition at line 97 of file pztrnsform.h.

References TPZStream::Write(), and TPZFNMatrix< N, TVar >::Write().

Referenced by pzgeom::TPZGeoBlend< TGeo >::Write().

Friends And Related Function Documentation

◆ TPZTransform< REAL >

template<class T = REAL>

friend class TPZTransform< REAL >

friend

Rows of transformation matrix.

Cols of transformation matrix

Definition at line 52 of file pztrnsform.h.

Member Data Documentation

◆ fCol

template<class T = REAL>

int TPZTransform< T >::fCol

private

Number of columns of the matrix associated with the transformation.

Definition at line 27 of file pztrnsform.h.

Referenced by TPZTransform< T >::Apply(), TPZTransform< T >::CompareTransform(), TPZTransform< T >::CopyFrom(), TPZTransform< T >::Multiply(), TPZTransform< T >::operator=(), TPZTransform< T >::PrintInputForm(), TPZTransform< T >::SetMatrix(), TPZTransform< T >::TPZTransform(), and TPZTransform< T >::~TPZTransform().

◆ fMult

template<class T = REAL>

TPZFNMatrix<9,T> TPZTransform< T >::fMult

private

Matrix used by multiplications.

Definition at line 29 of file pztrnsform.h.

Referenced by TPZTransform< T >::Apply(), TPZTransform< T >::CompareTransform(), TPZTransform< T >::CopyFrom(), TPZTransform< T >::Mult(), TPZTransform< T >::Multiply(), TPZTransform< T >::operator=(), TPZTransform< T >::PrintInputForm(), TPZTransform< T >::SetMatrix(), TPZTransform< T >::TPZTransform(), and TPZTransform< T >::~TPZTransform().

◆ fRow

template<class T = REAL>

int TPZTransform< T >::fRow

private

Number of rows of the matrix associated with the transformation.

Definition at line 25 of file pztrnsform.h.

Referenced by TPZTransform< T >::Apply(), TPZTransform< T >::CompareTransform(), TPZTransform< T >::CopyFrom(), TPZTransform< T >::Multiply(), TPZTransform< T >::operator=(), TPZTransform< T >::PrintInputForm(), TPZTransform< T >::SetMatrix(), TPZTransform< T >::TPZTransform(), and TPZTransform< T >::~TPZTransform().

◆ fSum

template<class T = REAL>

TPZFNMatrix<3,T> TPZTransform< T >::fSum

private

Matrix used by sums.

Definition at line 31 of file pztrnsform.h.

Referenced by TPZTransform< T >::Apply(), TPZTransform< T >::CompareTransform(), TPZTransform< T >::CopyFrom(), TPZTransform< T >::Multiply(), TPZTransform< T >::operator=(), TPZTransform< T >::PrintInputForm(), TPZTransform< T >::SetMatrix(), TPZTransform< T >::Sum(), TPZTransform< T >::TPZTransform(), and TPZTransform< T >::~TPZTransform().

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

Analysis/pzmganalysis.h
Matrix/pztrnsform.h
Matrix/pztrnsform.cpp

Public Member Functions

Private Attributes

Friends

Additional Inherited Members

Detailed Description

template<class T = REAL> class TPZTransform< T >

Constructor & Destructor Documentation

◆ TPZTransform() [1/4]

◆ TPZTransform() [2/4]

◆ TPZTransform() [3/4]

◆ TPZTransform() [4/4]

◆ ~TPZTransform()

Member Function Documentation

◆ Apply()

◆ ClassId()

◆ CompareTransform()

◆ CopyFrom()

◆ Mult() [1/2]

◆ Mult() [2/2]

◆ Multiply()

◆ operator=()

◆ PrintInputForm()

◆ Read()

◆ SetMatrix()

◆ Sum() [1/2]

◆ Sum() [2/2]

◆ Write()

Friends And Related Function Documentation

◆ TPZTransform< REAL >

Member Data Documentation

◆ fCol

◆ fMult

◆ fRow

◆ fSum

template<class T = REAL>
class TPZTransform< T >