Implements method to verify whether axes is an orthogonal normalizes matrix and to transformation from given axes to euclidian basis and viceverse. Utility. More...

#include <pzaxestools.h>

Public Member Functions
	TPZAxesTools ()
	simple constructor More...

	~TPZAxesTools ()
	destructor More...

Static Public Member Functions
static void	VerifyAxes (const TPZFMatrix< TVar > &axes)
	Verify whether parameter axes is an orthogonal normalized matrix. More...

static void	Axes2XYZ (const TPZFMatrix< TVar > &dudaxes, TPZFMatrix< TVar > &dudx, const TPZFMatrix< REAL > &axesv, bool colMajor=true)
	Makes the basis transformation from axes basis to euclidian basis. More...

static void	XYZ2Axes (TPZFMatrix< TVar > &dudaxes, const TPZFMatrix< TVar > &dudx, const TPZFMatrix< REAL > &axes, bool colMajor=true)
	Makes the basis transformation from euclidian basis to axes basis. More...

static TVar	ComputeDetjac (TPZFMatrix< TVar > &gradx)

static void	ComputeGradX (TPZFMatrix< TVar > &jac, TPZFMatrix< TVar > &axes, TPZFMatrix< TVar > &gradx)
	Compute GradX as a function of jac and axes. More...

static int	main ()

Detailed Description

template<class TVar>
class TPZAxesTools< TVar >

Implements method to verify whether axes is an orthogonal normalizes matrix and to transformation from given axes to euclidian basis and viceverse. Utility.

Definition at line 18 of file pzaxestools.h.

Constructor & Destructor Documentation

◆ TPZAxesTools()

template<class TVar >

TPZAxesTools< TVar >::TPZAxesTools ( )

inline

simple constructor

Definition at line 21 of file pzaxestools.h.

◆ ~TPZAxesTools()

template<class TVar >

TPZAxesTools< TVar >::~TPZAxesTools ( )

inline

destructor

Definition at line 23 of file pzaxestools.h.

Member Function Documentation

◆ Axes2XYZ()

template<class TVar >

static void TPZAxesTools< TVar >::Axes2XYZ	(	const TPZFMatrix< TVar > &	dudaxes,
		TPZFMatrix< TVar > &	dudx,
		const TPZFMatrix< REAL > &	axesv,
		bool	colMajor = `true`
	)

inlinestatic

Makes the basis transformation from axes basis to euclidian basis.

Parameters

dudx	Output matrix
dudaxes	Input matrix
axesv	Must be an orthogonal normalized matrix. Axes vectors are written in rows.
colMajor	If true, dudaxes is stored as a column-major matrix. Else, row-major.

Definition at line 61 of file pzaxestools.h.

References TPZMatrix< TVar >::Cols(), TPZFMatrix< TVar >::GetVal(), TPZMatrix< TVar >::Multiply(), TPZFMatrix< TVar >::Redim(), TPZFMatrix< TVar >::Resize(), TPZMatrix< TVar >::Rows(), TPZFMatrix< TVar >::Transpose(), TPZAxesTools< TVar >::VerifyAxes(), and TPZFMatrix< TVar >::Zero().

Referenced by TPZMixedElasticityMaterial::ComputeDivergenceOnDeformed(), TPZCompElHDiv< TSHAPE >::ComputeSolutionHDiv(), TPZLinearConvecDiff::Contribute(), TPZSpaceTimeRichardsEq::Contribute(), TPZElasticity3D::Contribute(), TPZMixedPoisson::Contribute(), TPZMatMixedPoisson3D::Contribute(), TPZMatElasticity2D::Contribute(), TPZMatDualHybridPoisson::ContributeInterface(), TPZMatConvectionProblem::ContributeInterface(), TPZMatLaplacian::ContributeInterface(), TPZMatPoisson3d::ContributeInterface(), TPZMatElasticity2D::ContributeVec(), TPZMatDualHybridPoisson::Errors(), TPZElasticityAxiMaterial::Errors(), TPZL2Projection::Errors(), TPZElasticity3D::Errors(), TPZElasticityMaterial::Errors(), TPZMatElasticity2D::Errors(), TPZMatLaplacian::Errors(), TPZAxesTools< TVar >::main(), TPZLinearConvecDiff::Solution(), TPZMatDualHybridPoisson::Solution(), TPZElasticity3D::Solution(), TPZMixedPoisson::Solution(), TPZMatConvectionProblem::Solution(), TPZMatLaplacian::Solution(), TPZMatPoisson3d::Solution(), and TPZMatMixedPoisson3D::Solution().

◆ ComputeDetjac()

template<class TVar >

static TVar TPZAxesTools< TVar >::ComputeDetjac ( TPZFMatrix< TVar > & gradx )

inlinestatic

Definition at line 111 of file pzaxestools.h.

References TPZMatrix< TVar >::Cols(), and DebugStop.

Referenced by pztopology::TPZPyramid::AdjustTopDirections(), pztopology::TPZPrism::ComputeDirections(), pztopology::TPZPyramid::ComputeDirections(), pztopology::TPZTetrahedron::ComputeDirections(), pztopology::TPZQuadrilateral::ComputeDirections(), pztopology::computedirectionsC(), pztopology::TPZLine::ComputeHDivDirections(), and pztopology::TPZTriangle::GetSideHDivPermutation().

◆ ComputeGradX()

template<class TVar >

static void TPZAxesTools< TVar >::ComputeGradX	(	TPZFMatrix< TVar > &	jac,
		TPZFMatrix< TVar > &	axes,
		TPZFMatrix< TVar > &	gradx
	)

inlinestatic

Compute GradX as a function of jac and axes.

Definition at line 132 of file pzaxestools.h.

References TPZFMatrix< TVar >::Redim(), and TPZMatrix< TVar >::Rows().

◆ main()

template<class TVar >

static int TPZAxesTools< TVar >::main ( )

inlinestatic

Test code

Definition at line 146 of file pzaxestools.h.

References TPZAxesTools< TVar >::Axes2XYZ(), TPZMatrix< TVar >::Print(), sqrt, and TPZAxesTools< TVar >::XYZ2Axes().

◆ VerifyAxes()

template<class TVar >

static void TPZAxesTools< TVar >::VerifyAxes ( const TPZFMatrix< TVar > & axes )

inlinestatic

Verify whether parameter axes is an orthogonal normalized matrix.

Parameters

axes	Object to check if it is a orthogonal and normalized matrix

Definition at line 29 of file pzaxestools.h.

References TPZMatrix< TVar >::Cols(), TPZFMatrix< TVar >::GetVal(), IsZero(), TPZMatrix< TVar >::Print(), PZError, and TPZMatrix< TVar >::Rows().

Referenced by TPZAxesTools< TVar >::Axes2XYZ(), TPZFMatrix< STATE >::GramSchmidt(), and TPZAxesTools< TVar >::XYZ2Axes().

◆ XYZ2Axes()

template<class TVar >

static void TPZAxesTools< TVar >::XYZ2Axes	(	TPZFMatrix< TVar > &	dudaxes,
		const TPZFMatrix< TVar > &	dudx,
		const TPZFMatrix< REAL > &	axes,
		bool	colMajor = `true`
	)

inlinestatic

Makes the basis transformation from euclidian basis to axes basis.

Parameters

dudaxes	Input matrix
dudx	Output matrix
axes	must be an orthogonal normalized matrix. Axes vectors are written in rows.
colMajor	If true, dudaxes is stored as a column-major matrix. Else, row-major.

Definition at line 95 of file pzaxestools.h.

References TPZMatrix< TVar >::Cols(), TPZMatrix< TVar >::Multiply(), TPZFMatrix< TVar >::Resize(), TPZMatrix< TVar >::Rows(), TPZFMatrix< TVar >::Transpose(), TPZAxesTools< TVar >::VerifyAxes(), and TPZFMatrix< TVar >::Zero().

Referenced by TPZAxesTools< TVar >::main().

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