Templated 3D tensor derived from VectorSpace adding construction from 9 components, element access using xx(), xy() etc. member functions and the inner-product (dot-product) and outer-product of two Vectors (tensor-product) operators. More...

Inheritance diagram for Tensor< Cmpt >:

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Public Types
enum	{ rank = 2 }

enum	components { XX, XY, XZ, YX, YY, YZ, ZX, ZY, ZZ }
	Component labeling enumeration. More...

typedef Tensor< label >	labelType
	Equivalent type of labels used for valid component indexing. More...

Public Types inherited from VectorSpace< Tensor< Cmpt >, Cmpt, 9 >
enum

typedef Cmpt	cmptType
	Component type. More...

Public Member Functions
	Tensor ()
	Construct null. More...

template<class Cmpt2 >
	Tensor (const VectorSpace< Tensor< Cmpt2 >, Cmpt2, 9 > &)
	Construct given VectorSpace of the same rank. More...

	Tensor (const SphericalTensor< Cmpt > &)
	Construct given SphericalTensor. More...

	Tensor (const SymmTensor< Cmpt > &)
	Construct given SymmTensor. More...

	Tensor (const Vector< Vector< Cmpt > > &)
	Construct given triad. More...

	Tensor (const Vector< Cmpt > &x, const Vector< Cmpt > &y, const Vector< Cmpt > &z)
	Construct given the three vector components. More...

	Tensor (const Cmpt txx, const Cmpt txy, const Cmpt txz, const Cmpt tyx, const Cmpt tyy, const Cmpt tyz, const Cmpt tzx, const Cmpt tzy, const Cmpt tzz)
	Construct given the nine components. More...

	Tensor (Istream &)
	Construct from Istream. More...

const Cmpt &	xx () const

const Cmpt &	xy () const

const Cmpt &	xz () const

const Cmpt &	yx () const

const Cmpt &	yy () const

const Cmpt &	yz () const

const Cmpt &	zx () const

const Cmpt &	zy () const

const Cmpt &	zz () const

Cmpt &	xx ()

Cmpt &	xy ()

Cmpt &	xz ()

Cmpt &	yx ()

Cmpt &	yy ()

Cmpt &	yz ()

Cmpt &	zx ()

Cmpt &	zy ()

Cmpt &	zz ()

Vector< Cmpt >	x () const

Vector< Cmpt >	y () const

Vector< Cmpt >	z () const

Vector< Cmpt >	vectorComponent (const direction) const

Tensor< Cmpt >	T () const
	Transpose. More...

void	operator= (const SphericalTensor< Cmpt > &)
	Assign to a SphericalTensor. More...

void	operator= (const SymmTensor< Cmpt > &)
	Assign to a SymmTensor. More...

void	operator= (const Vector< Vector< Cmpt > > &)
	Assign to a triad. More...

Public Member Functions inherited from VectorSpace< Tensor< Cmpt >, Cmpt, 9 >
	VectorSpace ()
	Construct null. More...

	VectorSpace (Istream &)
	Construct from Istream. More...

	VectorSpace (const VectorSpace< Tensor< Cmpt >, Cmpt, nCmpt > &)
	Construct as copy. More...

	VectorSpace (const VectorSpace< Form2, Cmpt2, nCmpt > &)
	Construct as copy of another VectorSpace type of the same rank. More...

label	size () const
	Return the number of elements in the VectorSpace = nCmpt. More...

const Cmpt &	component (const direction) const

Cmpt &	component (const direction)

void	component (Cmpt &, const direction) const

void	replace (const direction, const Cmpt &)

const Cmpt &	operator[] (const direction) const

Cmpt &	operator[] (const direction)

void	operator= (const VectorSpace< Tensor< Cmpt >, Cmpt, nCmpt > &)

void	operator+= (const VectorSpace< Tensor< Cmpt >, Cmpt, nCmpt > &)

void	operator-= (const VectorSpace< Tensor< Cmpt >, Cmpt, nCmpt > &)

void	operator*= (const scalar)

void	operator/= (const scalar)

Static Public Attributes
static const char *const	typeName = "labelTensor"

static const char *	componentNames []

static const Tensor	zero

static const Tensor	one

static const Tensor	max

static const Tensor	min

static const Tensor	I

Additional Inherited Members
Public Attributes inherited from VectorSpace< Tensor< Cmpt >, Cmpt, 9 >
Cmpt	v_ [nCmpt]
	The components of this vector space. More...

Detailed Description

template<class Cmpt>
class Foam::Tensor< Cmpt >

Templated 3D tensor derived from VectorSpace adding construction from 9 components, element access using xx(), xy() etc. member functions and the inner-product (dot-product) and outer-product of two Vectors (tensor-product) operators.

Source files

Definition at line 224 of file complexI.H.

Member Typedef Documentation

typedef Tensor<label> labelType

Equivalent type of labels used for valid component indexing.

Definition at line 64 of file Tensor.H.

Member Enumeration Documentation

anonymous enum

Enumerator
rank

Definition at line 69 of file Tensor.H.

enum components

Component labeling enumeration.

Enumerator
XX
XY
XZ
YX
YY
YZ
ZX
ZY
ZZ

Definition at line 88 of file Tensor.H.

Constructor & Destructor Documentation

Tensor ( )

inline

Construct null.

Definition at line 36 of file TensorI.H.

Referenced by Tensor< Cmpt >::Tensor().

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Tensor ( const VectorSpace< Tensor< Cmpt2 >, Cmpt2, 9 > & vs )

inline

Construct given VectorSpace of the same rank.

Definition at line 42 of file TensorI.H.

Tensor ( const SphericalTensor< Cmpt > & st )

inline

Construct given SphericalTensor.

Definition at line 49 of file TensorI.H.

References SphericalTensor< Cmpt >::ii(), VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, Tensor< Cmpt >::XX, Tensor< Cmpt >::XY, Tensor< Cmpt >::XZ, Tensor< Cmpt >::YX, Tensor< Cmpt >::YY, Tensor< Cmpt >::YZ, Tensor< Cmpt >::ZX, Tensor< Cmpt >::ZY, and Tensor< Cmpt >::ZZ.

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Tensor ( const SymmTensor< Cmpt > & st )

inline

Construct given SymmTensor.

Definition at line 58 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, Tensor< Cmpt >::XX, SymmTensor< Cmpt >::xx(), Tensor< Cmpt >::XY, SymmTensor< Cmpt >::xy(), Tensor< Cmpt >::XZ, SymmTensor< Cmpt >::xz(), Tensor< Cmpt >::YX, Tensor< Cmpt >::YY, SymmTensor< Cmpt >::yy(), Tensor< Cmpt >::YZ, SymmTensor< Cmpt >::yz(), Tensor< Cmpt >::ZX, Tensor< Cmpt >::ZY, Tensor< Cmpt >::ZZ, and SymmTensor< Cmpt >::zz().

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Tensor ( const Vector< Vector< Cmpt > > & tr )

inline

Construct given triad.

Definition at line 67 of file TensorI.H.

References Tensor< Cmpt >::Tensor(), Foam::tr(), VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, Tensor< Cmpt >::XX, Tensor< Cmpt >::XY, Tensor< Cmpt >::XZ, Tensor< Cmpt >::YX, Tensor< Cmpt >::YY, Tensor< Cmpt >::YZ, Tensor< Cmpt >::ZX, Tensor< Cmpt >::ZY, and Tensor< Cmpt >::ZZ.

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Tensor	(	const Vector< Cmpt > &	x,
		const Vector< Cmpt > &	y,
		const Vector< Cmpt > &	z
	)

inline

Construct given the three vector components.

Definition at line 85 of file TensorI.H.

References Tensor< Cmpt >::Tensor(), VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, Vector< Cmpt >::x(), Tensor< Cmpt >::XX, Tensor< Cmpt >::XY, Tensor< Cmpt >::XZ, Vector< Cmpt >::y(), Tensor< Cmpt >::YX, Tensor< Cmpt >::YY, Tensor< Cmpt >::YZ, Vector< Cmpt >::z(), Tensor< Cmpt >::ZX, Tensor< Cmpt >::ZY, and Tensor< Cmpt >::ZZ.

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Tensor	(	const Cmpt	txx,
		const Cmpt	txy,
		const Cmpt	txz,
		const Cmpt	tyx,
		const Cmpt	tyy,
		const Cmpt	tyz,
		const Cmpt	tzx,
		const Cmpt	tzy,
		const Cmpt	tzz
	)

inline

Construct given the nine components.

Definition at line 99 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, Tensor< Cmpt >::XX, Tensor< Cmpt >::XY, Tensor< Cmpt >::XZ, Tensor< Cmpt >::YX, Tensor< Cmpt >::YY, Tensor< Cmpt >::YZ, Tensor< Cmpt >::ZX, Tensor< Cmpt >::ZY, and Tensor< Cmpt >::ZZ.

Tensor ( Istream & is )

inline

Construct from Istream.

Definition at line 112 of file TensorI.H.

Member Function Documentation

const Cmpt & xx ( ) const

inline

Definition at line 160 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::XX.

Referenced by globalIndexAndTransform::addToTransformIndex(), fixedCoeff::calcTranformModelData(), DarcyForchheimer::calcTranformModelData(), Foam::cof(), molecule::constantProperties::constantProperties(), Foam::det(), Foam::diag(), Foam::eigenValues(), Foam::eigenVector(), Foam::inv(), Foam::invariantII(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), quaternion::quaternion(), Foam::readUpto(), triad::sortxyz(), Foam::symm(), Tensor< Cmpt >::T(), Foam::tr(), Foam::transform(), coordinateRotation::transformPrincipal(), Foam::twoSymm(), and dxSurfaceWriter::writeData().

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const Cmpt & xy ( ) const

inline

Definition at line 167 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::XY.

Referenced by Foam::cof(), ReynoldsStress< BasicTurbulenceModel >::correctWallShearStress(), Foam::det(), Foam::eigenValues(), Foam::eigenVector(), Foam::inv(), Foam::invariantII(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator*(), Foam::operator+(), Foam::operator-(), quaternion::quaternion(), Foam::readUpto(), Foam::skew(), triad::sortxyz(), Foam::symm(), Tensor< Cmpt >::T(), Foam::transform(), coordinateRotation::transformPrincipal(), Foam::twoSymm(), and dxSurfaceWriter::writeData().

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const Cmpt & xz ( ) const

inline

Definition at line 174 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::XZ.

Referenced by Foam::cof(), ReynoldsStress< BasicTurbulenceModel >::correctWallShearStress(), Foam::det(), Foam::eigenValues(), Foam::eigenVector(), Foam::inv(), Foam::invariantII(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator*(), Foam::operator+(), Foam::operator-(), quaternion::quaternion(), Foam::readUpto(), Foam::skew(), triad::sortxyz(), Foam::symm(), Tensor< Cmpt >::T(), Foam::transform(), coordinateRotation::transformPrincipal(), Foam::twoSymm(), and dxSurfaceWriter::writeData().

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const Cmpt & yx ( ) const

inline

Definition at line 181 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::YX.

Referenced by Foam::cof(), Foam::det(), Foam::eigenValues(), Foam::eigenVector(), Foam::inv(), Foam::invariantII(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), quaternion::quaternion(), Foam::readUpto(), Foam::skew(), triad::sortxyz(), Foam::symm(), Tensor< Cmpt >::T(), Foam::transform(), coordinateRotation::transformPrincipal(), Foam::twoSymm(), and dxSurfaceWriter::writeData().

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const Cmpt & yy ( ) const

inline

Definition at line 188 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::YY.

Referenced by globalIndexAndTransform::addToTransformIndex(), Foam::cof(), molecule::constantProperties::constantProperties(), Foam::det(), Foam::diag(), Foam::eigenValues(), Foam::eigenVector(), Foam::inv(), Foam::invariantII(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), quaternion::quaternion(), Foam::readUpto(), triad::sortxyz(), Foam::symm(), Tensor< Cmpt >::T(), Foam::tr(), Foam::transform(), coordinateRotation::transformPrincipal(), Foam::twoSymm(), and dxSurfaceWriter::writeData().

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const Cmpt & yz ( ) const

inline

Definition at line 195 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::YZ.

Referenced by Foam::cof(), ReynoldsStress< BasicTurbulenceModel >::correctWallShearStress(), Foam::det(), Foam::eigenValues(), Foam::eigenVector(), Foam::inv(), Foam::invariantII(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator*(), Foam::operator+(), Foam::operator-(), quaternion::quaternion(), Foam::readUpto(), Foam::skew(), triad::sortxyz(), Foam::symm(), Tensor< Cmpt >::T(), Foam::transform(), coordinateRotation::transformPrincipal(), Foam::twoSymm(), and dxSurfaceWriter::writeData().

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const Cmpt & zx ( ) const

inline

Definition at line 202 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::ZX.

Referenced by Foam::cof(), Foam::det(), Foam::eigenValues(), Foam::eigenVector(), Foam::inv(), Foam::invariantII(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), quaternion::quaternion(), Foam::readUpto(), Foam::skew(), triad::sortxyz(), Foam::symm(), Tensor< Cmpt >::T(), Foam::transform(), coordinateRotation::transformPrincipal(), Foam::twoSymm(), and dxSurfaceWriter::writeData().

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const Cmpt & zy ( ) const

inline

Definition at line 209 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::ZY.

Referenced by Foam::cof(), Foam::det(), Foam::eigenValues(), Foam::eigenVector(), Foam::inv(), Foam::invariantII(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), quaternion::quaternion(), Foam::readUpto(), Foam::skew(), triad::sortxyz(), Foam::symm(), Tensor< Cmpt >::T(), Foam::transform(), coordinateRotation::transformPrincipal(), Foam::twoSymm(), and dxSurfaceWriter::writeData().

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const Cmpt & zz ( ) const

inline

Definition at line 216 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::ZZ.

Referenced by globalIndexAndTransform::addToTransformIndex(), Foam::cof(), molecule::constantProperties::constantProperties(), Foam::det(), Foam::diag(), Foam::eigenValues(), Foam::eigenVector(), Foam::inv(), Foam::invariantII(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&&(), Foam::operator+(), Foam::operator-(), quaternion::quaternion(), Foam::readUpto(), triad::sortxyz(), Foam::symm(), Tensor< Cmpt >::T(), Foam::tr(), Foam::transform(), coordinateRotation::transformPrincipal(), Foam::twoSymm(), and dxSurfaceWriter::writeData().

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Cmpt & xx ( )

inline

Definition at line 223 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::XX.

Cmpt & xy ( )

inline

Definition at line 230 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::XY.

Cmpt & xz ( )

inline

Definition at line 237 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::XZ.

Cmpt & yx ( )

inline

Definition at line 244 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::YX.

Cmpt & yy ( )

inline

Definition at line 251 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::YY.

Cmpt & yz ( )

inline

Definition at line 258 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::YZ.

Cmpt & zx ( )

inline

Definition at line 265 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::ZX.

Cmpt & zy ( )

inline

Definition at line 272 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::ZY.

Cmpt & zz ( )

inline

Definition at line 279 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, and Tensor< Cmpt >::ZZ.

Vector< Cmpt > x ( ) const

inline

Definition at line 121 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, Tensor< Cmpt >::XX, Tensor< Cmpt >::XY, and Tensor< Cmpt >::XZ.

Referenced by molecule::constantProperties::constantProperties(), STARCDCoordinateRotation::e1(), EulerCoordinateRotation::e1(), axesRotation::e1(), triad::operator=(), triad::triad(), and Tensor< Cmpt >::vectorComponent().

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Vector< Cmpt > y ( ) const

inline

Definition at line 128 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, Tensor< Cmpt >::YX, Tensor< Cmpt >::YY, and Tensor< Cmpt >::YZ.

Referenced by molecule::constantProperties::constantProperties(), STARCDCoordinateRotation::e2(), EulerCoordinateRotation::e2(), axesRotation::e2(), triad::operator=(), triad::triad(), and Tensor< Cmpt >::vectorComponent().

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Vector< Cmpt > z ( ) const

inline

Definition at line 135 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, Tensor< Cmpt >::ZX, Tensor< Cmpt >::ZY, and Tensor< Cmpt >::ZZ.

Referenced by molecule::constantProperties::constantProperties(), STARCDCoordinateRotation::e3(), EulerCoordinateRotation::e3(), axesRotation::e3(), triad::operator=(), triad::triad(), and Tensor< Cmpt >::vectorComponent().

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Vector< Cmpt > vectorComponent ( const direction cmpt ) const

inline

Definition at line 142 of file TensorI.H.

References Tensor< Cmpt >::x(), Tensor< Cmpt >::y(), and Tensor< Cmpt >::z().

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Tensor< Cmpt > T ( ) const

inline

Transpose.

Definition at line 286 of file TensorI.H.

References Tensor< Cmpt >::xx(), Tensor< Cmpt >::xy(), Tensor< Cmpt >::xz(), Tensor< Cmpt >::yx(), Tensor< Cmpt >::yy(), Tensor< Cmpt >::yz(), Tensor< Cmpt >::zx(), Tensor< Cmpt >::zy(), and Tensor< Cmpt >::zz().

Referenced by cyclicAMIPolyPatch::calcTransforms(), cyclicPolyPatch::calcTransforms(), Foam::inv(), vectorTensorTransform::invTransformPosition(), molecule::move(), mapDistribute::transform::operator()(), transformOp< PrimitivePatchType, Type, TrackingData >::operator()(), sixDoFRigidBodyMotion::transform(), and triad::triad().

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void operator= ( const SphericalTensor< Cmpt > & st )

inline

Assign to a SphericalTensor.

Definition at line 300 of file TensorI.H.

References SphericalTensor< Cmpt >::ii(), VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, Tensor< Cmpt >::XX, Tensor< Cmpt >::XY, Tensor< Cmpt >::XZ, Tensor< Cmpt >::YX, Tensor< Cmpt >::YY, Tensor< Cmpt >::YZ, Tensor< Cmpt >::ZX, Tensor< Cmpt >::ZY, and Tensor< Cmpt >::ZZ.

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void operator= ( const SymmTensor< Cmpt > & st )

inline

Assign to a SymmTensor.

Definition at line 309 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, Tensor< Cmpt >::XX, SymmTensor< Cmpt >::xx(), Tensor< Cmpt >::XY, SymmTensor< Cmpt >::xy(), Tensor< Cmpt >::XZ, SymmTensor< Cmpt >::xz(), Tensor< Cmpt >::YX, Tensor< Cmpt >::YY, SymmTensor< Cmpt >::yy(), Tensor< Cmpt >::YZ, SymmTensor< Cmpt >::yz(), Tensor< Cmpt >::ZX, Tensor< Cmpt >::ZY, Tensor< Cmpt >::ZZ, and SymmTensor< Cmpt >::zz().

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void operator= ( const Vector< Vector< Cmpt > > & tr )

inline

Assign to a triad.

Definition at line 318 of file TensorI.H.

References Foam::tr(), VectorSpace< Tensor< Cmpt >, Cmpt, 9 >::v_, Tensor< Cmpt >::XX, Tensor< Cmpt >::XY, Tensor< Cmpt >::XZ, Tensor< Cmpt >::YX, Tensor< Cmpt >::YY, Tensor< Cmpt >::YZ, Tensor< Cmpt >::ZX, Tensor< Cmpt >::ZY, and Tensor< Cmpt >::ZZ.

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Member Data Documentation

const char *const typeName = "labelTensor"

static

Definition at line 77 of file Tensor.H.

const char * componentNames

static

Initial value:

=
    {
        "xx", "xy", "xz",
        "yx", "yy", "yz",
        "zx", "zy", "zz"
    }

Definition at line 78 of file Tensor.H.

const Foam::labelTensor zero

static

Definition at line 80 of file Tensor.H.

const Foam::labelTensor one

static

Definition at line 81 of file Tensor.H.

const Tensor max

static

Definition at line 82 of file Tensor.H.

const Tensor min

static

Definition at line 83 of file Tensor.H.

const Tensor I

static

Definition at line 84 of file Tensor.H.

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

src/OpenFOAM/primitives/complex/complexI.H
src/OpenFOAM/primitives/Tensor/Tensor.H
src/OpenFOAM/primitives/Tensor/labelTensor/labelTensor.C
src/OpenFOAM/primitives/Tensor/TensorI.H

Public Types

Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

template<class Cmpt> class Foam::Tensor< Cmpt >

Member Typedef Documentation

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class Cmpt>
class Foam::Tensor< Cmpt >