A templated (3 x 3) tensor of objects of <T> derived from MatrixSpace. More...

#include <Tensor.H>

Inheritance diagram for Tensor< Cmpt >:

[legend]

Collaboration diagram for Tensor< Cmpt >:

[legend]

Public Types
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.
Public Types inherited from MatrixSpace< Tensor< Cmpt >, Cmpt, 3, 3 >
typedef MatrixSpace< Tensor< Cmpt >, Cmpt, Mrows, Ncols >	msType
	MatrixSpace type.
Public Types inherited from VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >
typedef VectorSpace< Tensor< Cmpt >, Cmpt, Ncmpts >	vsType
	VectorSpace type.
typedef Cmpt	cmptType
	Component type.
typedef Cmpt	magType
	Magnitude type.
typedef direction	size_type
	The type to represent the size of a VectorSpace.
typedef Cmpt *	iterator
	Random access iterator for traversing VectorSpace.
typedef const Cmpt *	const_iterator
	Random access iterator for traversing VectorSpace.

Public Member Functions
	Tensor ()=default
	Default construct.
	Tensor (const Tensor &)=default
	Copy construct.
Tensor &	operator= (const Tensor &)=default
	Copy assignment.
	Tensor (Foam::zero)
	Construct initialized to zero.
template<class Cmpt2>
	Tensor (const MatrixSpace< Tensor< Cmpt2 >, Cmpt2, 3, 3 > &vs)
	Construct given MatrixSpace of the same rank.
template<class Cmpt2>
	Tensor (const VectorSpace< Tensor< Cmpt2 >, Cmpt2, 9 > &vs)
	Construct given VectorSpace of the same rank.
	Tensor (const SphericalTensor< Cmpt > &st)
	Construct given SphericalTensor.
	Tensor (const SymmTensor< Cmpt > &st)
	Construct given SymmTensor.
	Tensor (const Vector< Vector< Cmpt > > &vecs, const bool transposed=false)
	Construct given triad of row vectors, optionally treated as transposed (ie, column vectors).
	Tensor (const Vector< Cmpt > &x, const Vector< Cmpt > &y, const Vector< Cmpt > &z, const bool transposed=false)
	Construct given the three row vectors, optionally treated as transposed (ie, column vectors).
	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.
template<template< class, direction, direction > class Block2, direction BRowStart, direction BColStart>
	Tensor (const Block2< Tensor< Cmpt >, BRowStart, BColStart > &block)
	Construct from a block of another matrix space.
	Tensor (Istream &is)
	Construct from Istream.
const Cmpt &	xx () const noexcept
const Cmpt &	xy () const noexcept
const Cmpt &	xz () const noexcept
const Cmpt &	yx () const noexcept
const Cmpt &	yy () const noexcept
const Cmpt &	yz () const noexcept
const Cmpt &	zx () const noexcept
const Cmpt &	zy () const noexcept
const Cmpt &	zz () const noexcept
Cmpt &	xx () noexcept
Cmpt &	xy () noexcept
Cmpt &	xz () noexcept
Cmpt &	yx () noexcept
Cmpt &	yy () noexcept
Cmpt &	yz () noexcept
Cmpt &	zx () noexcept
Cmpt &	zy () noexcept
Cmpt &	zz () noexcept
Vector< Cmpt >	cx () const
	Extract vector for column 0.
Vector< Cmpt >	cy () const
	Extract vector for column 1.
Vector< Cmpt >	cz () const
	Extract vector for column 2.
template<direction Idx>
Vector< Cmpt >	col () const
	Extract vector for given column: compile-time check of index.
Vector< Cmpt >	col (const direction c) const
	Extract vector for given column (0,1,2): runtime check of index.
template<direction Idx>
void	col (const Vector< Cmpt > &v)
	Set values of given column: compile-time check of index.
void	col (const direction c, const Vector< Cmpt > &v)
	Set values of given column (0,1,2): runtime check of index.
void	cols (const Vector< Cmpt > &x, const Vector< Cmpt > &y, const Vector< Cmpt > &z)
	Set column values.
Vector< Cmpt >	x () const
	Extract vector for row 0.
Vector< Cmpt >	y () const
	Extract vector for row 1.
Vector< Cmpt >	z () const
	Extract vector for row 2.
template<direction Idx>
Vector< Cmpt >	row () const
	Extract vector for given row: compile-time check of index.
Vector< Cmpt >	row (const direction r) const
	Extract vector for given row (0,1,2): runtime check of index.
template<direction Idx>
void	row (const Vector< Cmpt > &v)
	Set values of given row: compile-time check of index.
void	row (const direction r, const Vector< Cmpt > &v)
	Set values of given row (0,1,2): runtime check of row.
void	rows (const Vector< Cmpt > &x, const Vector< Cmpt > &y, const Vector< Cmpt > &z)
	Set row values.
Vector< Cmpt >	diag () const
	Extract the diagonal as a vector.
void	diag (const Vector< Cmpt > &v)
	Set values of the diagonal.
void	addDiag (const Vector< Cmpt > &v)
	Add to the diagonal.
void	subtractDiag (const Vector< Cmpt > &v)
	Subtract from the diagonal.
scalar	diagSqr () const
	The L2-norm squared of the diagonal.
bool	is_identity (const scalar tol=ROOTVSMALL) const
	Is identity tensor?
Tensor< Cmpt >	T () const
	Return non-Hermitian transpose.
Cmpt	det () const
	The determinate.
Cmpt	det2D (const direction excludeCmpt) const
	The 2D determinant by excluding given direction.
Tensor< Cmpt >	adjunct () const
	Return adjunct matrix (transpose of cofactor matrix).
Tensor< Cmpt >	cof () const
	Return cofactor matrix (transpose of adjunct matrix).
Tensor< Cmpt >	adjunct2D (const direction excludeCmpt) const
	Return 2D adjunct matrix by excluding given direction.
Tensor< Cmpt >	inv () const
	Return inverse.
Tensor< Cmpt >	safeInv () const
	Return inverse, with (ad hoc) failsafe handling of 2D tensors.
Tensor< Cmpt >	inv2D (const direction excludeCmpt) const
	Return inverse of 2D tensor (by excluding given direction).
Tensor< Cmpt >	inner (const Tensor< Cmpt > &t2) const
	Inner-product of this with another Tensor.
Tensor< Cmpt >	schur (const Tensor< Cmpt > &t2) const
	Schur-product of this with another Tensor.
void	operator&= (const Tensor< Cmpt > &t)
	Assign inner-product of this with another Tensor.
template<class Cmpt2>
void	operator= (const VectorSpace< Tensor< Cmpt2 >, Cmpt2, 9 > &)
	Assign to an equivalent vector space.
void	operator= (const SphericalTensor< Cmpt > &)
	Assign to a SphericalTensor.
void	operator= (const SymmTensor< Cmpt > &)
	Assign to a SymmTensor.
void	operator= (const Vector< Vector< Cmpt > > &)
	Assign to a triad of row vectors.
Vector< Cmpt >	vectorComponent (const direction cmpt) const
	Deprecated(2018-12) Return vector for given row (0,1).
template<Foam::direction Idx>
Foam::Vector< Cmpt >	col () const
template<Foam::direction Idx>
Foam::Vector< Cmpt >	row () const
Public Member Functions inherited from MatrixSpace< Tensor< Cmpt >, Cmpt, 3, 3 >
Foam::MatrixSpace< Tensor< Cmpt >, Cmpt, Mrows, Ncols >::template ConstBlock< SubTensor, BRowStart, BColStart >	block () const
Foam::MatrixSpace< Tensor< Cmpt >, Cmpt, Mrows, Ncols >::template Block< SubTensor, BRowStart, BColStart >	block ()
	MatrixSpace ()=default
	Default construct.
const Cmpt &	elmt () const noexcept
	Fast const element access using compile-time addressing.
const Cmpt &	xx () const noexcept
const Cmpt &	xy () const noexcept
const Cmpt &	xz () const noexcept
const Cmpt &	yx () const noexcept
const Cmpt &	yy () const noexcept
const Cmpt &	yz () const noexcept
const Cmpt &	zx () const noexcept
const Cmpt &	zy () const noexcept
const Cmpt &	zz () const noexcept
typeOfTranspose< Cmpt, Tensor< Cmpt > >::type	T () const
	Return the transpose of the matrix.
const Cmpt &	operator() (const direction i, const direction j) const
	(i, j) const element access operator
void	operator= (Foam::zero)
	Assignment to zero.
void	operator&= (const MatrixSpace< Tensor< Cmpt >, Cmpt, Ncols, Ncols > &matrix)
	Inner product with a compatible square matrix.
Public Member Functions inherited from VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >
const Foam::VectorSpace< Tensor< Cmpt >, Cmpt, Ncmpts >::template ConstBlock< SubVector, BStart >	block () const
	VectorSpace ()=default
	Default construct.
const Cmpt &	component (const direction) const
void	replace (const direction, const Cmpt &)
const Cmpt *	cdata () const noexcept
	Return const pointer to the first data element.
Cmpt *	data () noexcept
	Return pointer to the first data element.
void	fill (const Cmpt &s)
	Assign all components to given value.
const Cmpt &	operator[] (const direction) const
void	operator= (const VectorSpace< Tensor< Cmpt >, Cmpt, Ncmpts > &)
void	operator+= (const VectorSpace< Tensor< Cmpt >, Cmpt, Ncmpts > &)
void	operator-= (const VectorSpace< Tensor< Cmpt >, Cmpt, Ncmpts > &)
void	operator*= (const scalar)
void	operator/= (const scalar)
iterator	begin () noexcept
	Return an iterator (pointer) to begin of VectorSpace.
const_iterator	cbegin () const noexcept
	Return const_iterator (const pointer) to begin of VectorSpace.
iterator	end () noexcept
	Return an iterator (pointer) to end of VectorSpace.
const_iterator	cend () const noexcept
	Return const_iterator (const pointer) to end of VectorSpace.

Static Public Attributes
static constexpr direction	rank = 2
	Rank of Tensor is 2.
static const Tensor	I
Static Public Attributes inherited from MatrixSpace< Tensor< Cmpt >, Cmpt, 3, 3 >
static constexpr direction	mRows
static constexpr direction	nCols
Static Public Attributes inherited from VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >
static constexpr direction	dim
	Dimensionality of space.
static constexpr direction	nComponents
	Number of components in this vector space.
static constexpr direction	mRows
static constexpr direction	nCols
static const char *const	typeName
static const char *const	componentNames []
static const Tensor< Cmpt >	zero
static const Tensor< Cmpt >	one
static const Tensor< Cmpt >	max
static const Tensor< Cmpt >	min
static const Tensor< Cmpt >	rootMax
static const Tensor< Cmpt >	rootMin

Additional Inherited Members
Static Public Member Functions inherited from MatrixSpace< Tensor< Cmpt >, Cmpt, 3, 3 >
static direction	m () noexcept
	The number of rows.
static direction	n () noexcept
	The number of columns.
static msType	identity ()
	An identity matrix for square matrix-spaces.
Static Public Member Functions inherited from VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >
static constexpr direction	size () noexcept
	The number of elements in the VectorSpace = Ncmpts.
static Tensor< Cmpt >	uniform (const Cmpt &s)
	Return a VectorSpace with all elements = s.
Public Attributes inherited from VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >
Cmpt	v_ [Ncmpts]
	The components of this vector space.

Detailed Description

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

A templated (3 x 3) tensor of objects of <T> derived from MatrixSpace.

Source files

See also: Foam::MatrixSpace Foam::Vector

Definition at line 57 of file Tensor.H.

Member Typedef Documentation

◆ labelType

template<class Cmpt>

typedef Tensor<label> labelType

Equivalent type of labels used for valid component indexing.

Definition at line 68 of file Tensor.H.

Member Enumeration Documentation

◆ components

template<class Cmpt>

enum components

Component labeling enumeration.

Enumerator
XX
XY
XZ
YX
YY
YZ
ZX
ZY
ZZ

Definition at line 87 of file Tensor.H.

Constructor & Destructor Documentation

◆ Tensor() [1/12]

template<class Cmpt>

Tensor ( )

default

Default construct.

Referenced by adjunct(), adjunct2D(), inner(), operator&=(), safeInv(), schur(), T(), Tensor(), Tensor(), Tensor(), Tensor(), Tensor(), and Tensor().

Here is the caller graph for this function:

◆ Tensor() [2/12]

template<class Cmpt>

Tensor ( const Tensor< Cmpt > & )

default

Copy construct.

◆ Tensor() [3/12]

template<class Cmpt>

Tensor ( Foam::zero )

inline

Construct initialized to zero.

Definition at line 29 of file TensorI.H.

References Tensor().

Here is the call graph for this function:

◆ Tensor() [4/12]

template<class Cmpt>

template<class Cmpt2>

Tensor ( const MatrixSpace< Tensor< Cmpt2 >, Cmpt2, 3, 3 > & vs )

inline

Construct given MatrixSpace of the same rank.

Definition at line 37 of file TensorI.H.

References MatrixSpace< Tensor< Cmpt >, Cmpt, 3, 3 >::MatrixSpace(), and Tensor().

Here is the call graph for this function:

◆ Tensor() [5/12]

template<class Cmpt>

template<class Cmpt2>

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

inline

Construct given VectorSpace of the same rank.

Definition at line 48 of file TensorI.H.

References Tensor().

Here is the call graph for this function:

◆ Tensor() [6/12]

template<class Cmpt>

Tensor ( const SphericalTensor< Cmpt > & st )

inline

Construct given SphericalTensor.

Definition at line 58 of file TensorI.H.

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

Here is the call graph for this function:

◆ Tensor() [7/12]

template<class Cmpt>

Tensor ( const SymmTensor< Cmpt > & st )

inline

Construct given SymmTensor.

Definition at line 67 of file TensorI.H.

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

Here is the call graph for this function:

◆ Tensor() [8/12]

template<class Cmpt>

Tensor	(	const Vector< Vector< Cmpt > > &	vecs,
		const bool	transposed = false )

inline

Construct given triad of row vectors, optionally treated as transposed (ie, column vectors).

Definition at line 76 of file TensorI.H.

References Tensor(), x(), y(), and z().

Here is the call graph for this function:

◆ Tensor() [9/12]

template<class Cmpt>

Tensor	(	const Vector< Cmpt > &	x,
		const Vector< Cmpt > &	y,
		const Vector< Cmpt > &	z,
		const bool	transposed = false )

inline

Construct given the three row vectors, optionally treated as transposed (ie, column vectors).

Definition at line 87 of file TensorI.H.

References cols(), rows(), x(), y(), and z().

Here is the call graph for this function:

◆ Tensor() [10/12]

template<class Cmpt>

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 107 of file TensorI.H.

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

◆ Tensor() [11/12]

template<class Cmpt>

template<template< class, Foam::direction, Foam::direction > class Block2, Foam::direction BRowStart, Foam::direction BColStart>

Tensor ( const Block2< Tensor< Cmpt >, BRowStart, BColStart > & block )

inline

Construct from a block of another matrix space.

Definition at line 127 of file TensorI.H.

References MatrixSpace< Tensor< Cmpt >, Cmpt, 3, 3 >::block(), and Tensor().

Here is the call graph for this function:

◆ Tensor() [12/12]

template<class Cmpt>

Tensor ( Istream & is )

inlineexplicit

Construct from Istream.

Definition at line 137 of file TensorI.H.

References Tensor().

Here is the call graph for this function:

Member Function Documentation

◆ operator=() [1/5]

template<class Cmpt>

Tensor & operator= ( const Tensor< Cmpt > & )

default

Copy assignment.

◆ xx() [1/2]

template<class Cmpt>

const Cmpt & xx ( ) const

inlinenoexcept

Definition at line 193 of file Tensor.H.

Referenced by adjunct(), adjunct2D(), DarcyForchheimer::calcTransformModelData(), fixedCoeff::calcTransformModelData(), det(), det2D(), Foam::devSymm(), Foam::devTwoSymm(), Foam::diag(), diagSqr(), inner(), Foam::invariantII(), Foam::invTransform(), Foam::invTransform(), is_identity(), Foam::lerp(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator&&(), Foam::operator&&(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), safeInv(), schur(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), T(), Foam::tr(), Foam::transform(), Foam::transform(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

◆ xy() [1/2]

template<class Cmpt>

const Cmpt & xy ( ) const

inlinenoexcept

Definition at line 194 of file Tensor.H.

Referenced by adjunct(), adjunct2D(), det(), det2D(), Foam::devSymm(), Foam::devTwoSymm(), inner(), Foam::invariantII(), Foam::invTransform(), Foam::invTransform(), is_identity(), Foam::lerp(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator*(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), schur(), Foam::skew(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), T(), Foam::transform(), Foam::transform(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

Here is the caller graph for this function:

◆ xz() [1/2]

template<class Cmpt>

const Cmpt & xz ( ) const

inlinenoexcept

Definition at line 195 of file Tensor.H.

Referenced by adjunct(), adjunct2D(), det(), det2D(), Foam::devSymm(), Foam::devTwoSymm(), inner(), Foam::invariantII(), Foam::invTransform(), Foam::invTransform(), is_identity(), Foam::lerp(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator*(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), schur(), Foam::skew(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), T(), Foam::transform(), Foam::transform(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

Here is the caller graph for this function:

◆ yx() [1/2]

template<class Cmpt>

const Cmpt & yx ( ) const

inlinenoexcept

Definition at line 196 of file Tensor.H.

Referenced by adjunct(), adjunct2D(), det(), det2D(), Foam::devSymm(), Foam::devTwoSymm(), inner(), Foam::invariantII(), Foam::invTransform(), Foam::invTransform(), is_identity(), Foam::lerp(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), schur(), Foam::skew(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), T(), Foam::transform(), Foam::transform(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

Here is the caller graph for this function:

◆ yy() [1/2]

template<class Cmpt>

const Cmpt & yy ( ) const

inlinenoexcept

Definition at line 197 of file Tensor.H.

Referenced by adjunct(), adjunct2D(), DarcyForchheimer::calcTransformModelData(), fixedCoeff::calcTransformModelData(), det(), det2D(), Foam::devSymm(), Foam::devTwoSymm(), Foam::diag(), diagSqr(), inner(), Foam::invariantII(), Foam::invTransform(), Foam::invTransform(), is_identity(), Foam::lerp(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator&&(), Foam::operator&&(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), safeInv(), schur(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), T(), Foam::tr(), Foam::transform(), Foam::transform(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

◆ yz() [1/2]

template<class Cmpt>

const Cmpt & yz ( ) const

inlinenoexcept

Definition at line 198 of file Tensor.H.

Referenced by adjunct(), adjunct2D(), det(), det2D(), Foam::devSymm(), Foam::devTwoSymm(), inner(), Foam::invariantII(), Foam::invTransform(), Foam::invTransform(), is_identity(), Foam::lerp(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator*(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), schur(), Foam::skew(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), T(), Foam::transform(), Foam::transform(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

Here is the caller graph for this function:

◆ zx() [1/2]

template<class Cmpt>

const Cmpt & zx ( ) const

inlinenoexcept

Definition at line 199 of file Tensor.H.

Referenced by adjunct(), adjunct2D(), det(), det2D(), Foam::devSymm(), Foam::devTwoSymm(), inner(), Foam::invariantII(), Foam::invTransform(), Foam::invTransform(), is_identity(), Foam::lerp(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), schur(), Foam::skew(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), T(), Foam::transform(), Foam::transform(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

Here is the caller graph for this function:

◆ zy() [1/2]

template<class Cmpt>

const Cmpt & zy ( ) const

inlinenoexcept

Definition at line 200 of file Tensor.H.

Referenced by adjunct(), adjunct2D(), det(), det2D(), Foam::devSymm(), Foam::devTwoSymm(), inner(), Foam::invariantII(), Foam::invTransform(), Foam::invTransform(), is_identity(), Foam::lerp(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), schur(), Foam::skew(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), T(), Foam::transform(), Foam::transform(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

Here is the caller graph for this function:

◆ zz() [1/2]

template<class Cmpt>

const Cmpt & zz ( ) const

inlinenoexcept

Definition at line 201 of file Tensor.H.

Referenced by adjunct(), adjunct2D(), DarcyForchheimer::calcTransformModelData(), fixedCoeff::calcTransformModelData(), det(), det2D(), Foam::devSymm(), Foam::devTwoSymm(), Foam::diag(), diagSqr(), inner(), Foam::invariantII(), Foam::invTransform(), Foam::invTransform(), is_identity(), Foam::lerp(), momentOfInertia::massPropertiesSolid(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&(), Foam::operator&&(), Foam::operator&&(), Foam::operator&&(), Foam::operator&&(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator+(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator-(), Foam::operator/(), safeInv(), schur(), SpatialTensor< Cmpt >::SpatialTensor(), Foam::symm(), T(), Foam::tr(), Foam::transform(), Foam::transform(), Foam::transform(), Foam::transformPrincipal_vector(), and Foam::twoSymm().

◆ xx() [2/2]

template<class Cmpt>

Cmpt & xx ( )

inlinenoexcept

Definition at line 203 of file Tensor.H.

◆ xy() [2/2]

template<class Cmpt>

Cmpt & xy ( )

inlinenoexcept

Definition at line 204 of file Tensor.H.

◆ xz() [2/2]

template<class Cmpt>

Cmpt & xz ( )

inlinenoexcept

Definition at line 205 of file Tensor.H.

◆ yx() [2/2]

template<class Cmpt>

Cmpt & yx ( )

inlinenoexcept

Definition at line 206 of file Tensor.H.

◆ yy() [2/2]

template<class Cmpt>

Cmpt & yy ( )

inlinenoexcept

Definition at line 207 of file Tensor.H.

◆ yz() [2/2]

template<class Cmpt>

Cmpt & yz ( )

inlinenoexcept

Definition at line 208 of file Tensor.H.

◆ zx() [2/2]

template<class Cmpt>

Cmpt & zx ( )

inlinenoexcept

Definition at line 209 of file Tensor.H.

◆ zy() [2/2]

template<class Cmpt>

Cmpt & zy ( )

inlinenoexcept

Definition at line 210 of file Tensor.H.

◆ zz() [2/2]

template<class Cmpt>

Cmpt & zz ( )

inlinenoexcept

Definition at line 211 of file Tensor.H.

◆ cx()

template<class Cmpt>

Foam::Vector< Cmpt > cx ( ) const

inline

Extract vector for column 0.

Definition at line 167 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >::v_, XX, YX, and ZX.

Referenced by col(), and lumpedPointState::writeVTP().

Here is the caller graph for this function:

◆ cy()

template<class Cmpt>

Foam::Vector< Cmpt > cy ( ) const

inline

Extract vector for column 1.

Definition at line 174 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >::v_, XY, YY, and ZY.

Referenced by col(), and lumpedPointState::writeVTP().

Here is the caller graph for this function:

◆ cz()

template<class Cmpt>

Foam::Vector< Cmpt > cz ( ) const

inline

Extract vector for column 2.

Definition at line 181 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >::v_, XZ, YZ, and ZZ.

Referenced by col().

Here is the caller graph for this function:

◆ col() [1/5]

template<class Cmpt>

template<direction Idx>

Vector< Cmpt > col ( ) const

inline

Extract vector for given column: compile-time check of index.

Referenced by col(), cylindrical::R(), and axes::rotation().

Here is the caller graph for this function:

◆ col() [2/5]

template<class Cmpt>

Foam::Vector< Cmpt > col ( const direction c ) const

inline

Extract vector for given column (0,1,2): runtime check of index.

Definition at line 201 of file TensorI.H.

References Foam::abort(), cx(), cy(), cz(), Foam::FatalError, FatalErrorInFunction, and Foam::Zero.

Here is the call graph for this function:

◆ col() [3/5]

template<class Cmpt>

template<Foam::direction Idx>

void col ( const Vector< Cmpt > & v )

inline

Set values of given column: compile-time check of index.

Definition at line 249 of file TensorI.H.

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

Here is the call graph for this function:

◆ col() [4/5]

template<class Cmpt>

void col	(	const direction	c,
		const Vector< Cmpt > &	v )

inline

Set values of given column (0,1,2): runtime check of index.

Definition at line 324 of file TensorI.H.

References Foam::abort(), col(), Foam::FatalError, and FatalErrorInFunction.

Here is the call graph for this function:

◆ cols()

template<class Cmpt>

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

inline

Set column values.

Definition at line 296 of file TensorI.H.

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

Referenced by Tensor().

Here is the call graph for this function:

Here is the caller graph for this function:

◆ x()

template<class Cmpt>

Foam::Vector< Cmpt > x ( ) const

inline

Extract vector for row 0.

Definition at line 146 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >::v_, XX, XY, and XZ.

Referenced by cols(), triad::operator=(), rows(), Tensor(), Tensor(), and triad::triad().

Here is the caller graph for this function:

◆ y()

template<class Cmpt>

Foam::Vector< Cmpt > y ( ) const

inline

Extract vector for row 1.

Definition at line 153 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >::v_, YX, YY, and YZ.

Referenced by cols(), triad::operator=(), rows(), Tensor(), Tensor(), and triad::triad().

Here is the caller graph for this function:

◆ z()

template<class Cmpt>

Foam::Vector< Cmpt > z ( ) const

inline

Extract vector for row 2.

Definition at line 160 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >::v_, ZX, ZY, and ZZ.

Referenced by cols(), triad::operator=(), row(), rows(), Tensor(), Tensor(), and triad::triad().

Here is the caller graph for this function:

◆ row() [1/5]

template<class Cmpt>

template<direction Idx>

Vector< Cmpt > row ( ) const

inline

Extract vector for given row: compile-time check of index.

Referenced by row(), and Tensor< scalar >::vectorComponent().

Here is the caller graph for this function:

◆ row() [2/5]

template<class Cmpt>

Foam::Vector< Cmpt > row ( const direction r ) const

inline

Extract vector for given row (0,1,2): runtime check of index.

Definition at line 231 of file TensorI.H.

References Foam::abort(), Foam::FatalError, FatalErrorInFunction, x, y, z(), and Foam::Zero.

Here is the call graph for this function:

◆ row() [3/5]

template<class Cmpt>

template<Foam::direction Idx>

void row ( const Vector< Cmpt > & v )

inline

Set values of given row: compile-time check of index.

Definition at line 276 of file TensorI.H.

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

Here is the call graph for this function:

◆ row() [4/5]

template<class Cmpt>

void row	(	const direction	r,
		const Vector< Cmpt > &	v )

inline

Set values of given row (0,1,2): runtime check of row.

Definition at line 343 of file TensorI.H.

References Foam::abort(), Foam::FatalError, FatalErrorInFunction, and row().

Here is the call graph for this function:

◆ rows()

template<class Cmpt>

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

inline

Set row values.

Definition at line 310 of file TensorI.H.

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

Referenced by Tensor().

Here is the call graph for this function:

Here is the caller graph for this function:

◆ diag() [1/2]

template<class Cmpt>

Foam::Vector< Cmpt > diag ( ) const

inline

Extract the diagonal as a vector.

Definition at line 362 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >::v_, XX, YY, and ZZ.

◆ diag() [2/2]

template<class Cmpt>

void diag ( const Vector< Cmpt > & v )

inline

Set values of the diagonal.

Definition at line 369 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >::v_, Vector< Cmpt >::x(), XX, Vector< Cmpt >::y(), YY, Vector< Cmpt >::z(), and ZZ.

Here is the call graph for this function:

◆ addDiag()

template<class Cmpt>

void addDiag ( const Vector< Cmpt > & v )

inline

Add to the diagonal.

Definition at line 376 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >::v_, Vector< Cmpt >::x(), XX, Vector< Cmpt >::y(), YY, Vector< Cmpt >::z(), and ZZ.

Here is the call graph for this function:

◆ subtractDiag()

template<class Cmpt>

void subtractDiag ( const Vector< Cmpt > & v )

inline

Subtract from the diagonal.

Definition at line 383 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >::v_, Vector< Cmpt >::x(), XX, Vector< Cmpt >::y(), YY, Vector< Cmpt >::z(), and ZZ.

Here is the call graph for this function:

◆ diagSqr()

template<class Cmpt>

Foam::scalar diagSqr ( ) const

inline

The L2-norm squared of the diagonal.

Definition at line 390 of file TensorI.H.

References Foam::magSqr(), xx(), yy(), and zz().

Here is the call graph for this function:

◆ is_identity()

template<class Cmpt>

bool is_identity ( const scalar tol = ROOTVSMALL ) const

inline

Is identity tensor?

Definition at line 402 of file TensorI.H.

References Foam::mag(), xx(), xy(), xz(), yx(), yy(), yz(), zx(), zy(), and zz().

Here is the call graph for this function:

◆ T()

template<class Cmpt>

Foam::Tensor< Cmpt > T ( ) const

inline

Return non-Hermitian transpose.

Definition at line 419 of file TensorI.H.

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

Referenced by edgeInterpolationScheme< Type >::interpolate(), Foam::RBD::transform(), and triad::triad().

Here is the call graph for this function:

Here is the caller graph for this function:

◆ det()

template<class Cmpt>

Cmpt det ( ) const

inline

The determinate.

Definition at line 431 of file TensorI.H.

References xx(), xy(), xz(), yx(), yy(), yz(), zx(), zy(), and zz().

Referenced by Foam::det(), and safeInv().

Here is the call graph for this function:

Here is the caller graph for this function:

◆ det2D()

template<class Cmpt>

Cmpt det2D ( const direction excludeCmpt ) const

inline

The 2D determinant by excluding given direction.

Definition at line 443 of file TensorI.H.

References xx(), xy(), xz(), yx(), yy(), yz(), zx(), zy(), and zz().

Referenced by inv2D().

Here is the call graph for this function:

Here is the caller graph for this function:

◆ adjunct()

template<class Cmpt>

Foam::Tensor< Cmpt > adjunct ( ) const

inline

Return adjunct matrix (transpose of cofactor matrix).

Definition at line 464 of file TensorI.H.

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

Referenced by cof(), Foam::inv(), inv(), and safeInv().

Here is the call graph for this function:

Here is the caller graph for this function:

◆ cof()

template<class Cmpt>

Foam::Tensor< Cmpt > cof ( ) const

inline

Return cofactor matrix (transpose of adjunct matrix).

Definition at line 476 of file TensorI.H.

References adjunct().

Referenced by Foam::cof().

Here is the call graph for this function:

Here is the caller graph for this function:

◆ adjunct2D()

template<class Cmpt>

Foam::Tensor< Cmpt > adjunct2D ( const direction excludeCmpt ) const

inline

Return 2D adjunct matrix by excluding given direction.

Definition at line 483 of file TensorI.H.

References Tensor(), xx(), xy(), xz(), yx(), yy(), yz(), Foam::Zero, zx(), zy(), and zz().

Referenced by inv2D().

Here is the call graph for this function:

Here is the caller graph for this function:

◆ inv()

template<class Cmpt>

Foam::Tensor< Cmpt > inv ( ) const

inline

Return inverse.

Definition at line 581 of file TensorI.H.

References Foam::abort(), adjunct(), Foam::det(), Foam::FatalError, FatalErrorInFunction, Foam::mag(), and Foam::nl.

Referenced by Foam::inv().

Here is the call graph for this function:

Here is the caller graph for this function:

◆ safeInv()

template<class Cmpt>

Foam::Tensor< Cmpt > safeInv ( ) const

inline

Return inverse, with (ad hoc) failsafe handling of 2D tensors.

Definition at line 601 of file TensorI.H.

References adjunct(), Foam::det(), det(), Foam::mag(), Foam::magSqr(), Tensor(), xx(), yy(), Foam::Zero, and zz().

Here is the call graph for this function:

◆ inv2D()

template<class Cmpt>

Foam::Tensor< Cmpt > inv2D ( const direction excludeCmpt ) const

inline

Return inverse of 2D tensor (by excluding given direction).

Definition at line 522 of file TensorI.H.

References adjunct2D(), and det2D().

Here is the call graph for this function:

◆ inner()

template<class Cmpt>

Foam::Tensor< Cmpt > inner ( const Tensor< Cmpt > & t2 ) const

inline

Inner-product of this with another Tensor.

Definition at line 539 of file TensorI.H.

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

Referenced by Foam::operator&(), and operator&=().

Here is the call graph for this function:

Here is the caller graph for this function:

◆ schur()

template<class Cmpt>

Foam::Tensor< Cmpt > schur ( const Tensor< Cmpt > & t2 ) const

inline

Schur-product of this with another Tensor.

Definition at line 566 of file TensorI.H.

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

Here is the call graph for this function:

◆ operator&=()

template<class Cmpt>

void operator&= ( const Tensor< Cmpt > & t )

inline

Assign inner-product of this with another Tensor.

Definition at line 660 of file TensorI.H.

References inner(), and Tensor().

Here is the call graph for this function:

◆ operator=() [2/5]

template<class Cmpt>

template<class Cmpt2>

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

inline

Assign to an equivalent vector space.

Definition at line 668 of file TensorI.H.

References VectorSpace< Tensor< Cmpt >, Cmpt, Mrows *Ncols >::operator.

Here is the call graph for this function:

◆ operator=() [3/5]

template<class Cmpt>

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

inline

Assign to a SphericalTensor.

Definition at line 678 of file TensorI.H.

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

Here is the call graph for this function:

◆ operator=() [4/5]

template<class Cmpt>

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

inline

Assign to a SymmTensor.

Definition at line 687 of file TensorI.H.

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

Here is the call graph for this function:

◆ operator=() [5/5]

template<class Cmpt>

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

inline

Assign to a triad of row vectors.

Definition at line 696 of file TensorI.H.

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

Here is the call graph for this function:

◆ vectorComponent()

template<class Cmpt>

Vector< Cmpt > vectorComponent ( const direction cmpt ) const

inline

Deprecated(2018-12) Return vector for given row (0,1).

Deprecated: (2018-12) use row() method

Definition at line 450 of file Tensor.H.

◆ col() [5/5]

template<class Cmpt>

template<Foam::direction Idx>

Foam::Vector< Cmpt > col ( ) const

inline

Definition at line 189 of file TensorI.H.

◆ row() [5/5]

template<class Cmpt>

template<Foam::direction Idx>

Foam::Vector< Cmpt > row ( ) const

inline

Definition at line 219 of file TensorI.H.

Member Data Documentation

◆ rank

template<class Cmpt>

direction rank = 2

staticconstexpr

Rank of Tensor is 2.

Definition at line 76 of file Tensor.H.

◆ I

template<class Cmpt>

const Tensor I

static

Definition at line 81 of file Tensor.H.

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

src/OpenFOAM/matrices/scalarMatrices/SVD/SVD.H
src/OpenFOAM/primitives/Tensor/Tensor.H
src/OpenFOAM/primitives/Tensor/TensorI.H

Public Types

Public Member Functions

Static Public Attributes

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ labelType

Member Enumeration Documentation

◆ components

Constructor & Destructor Documentation

◆ Tensor() [1/12]

◆ Tensor() [2/12]

◆ Tensor() [3/12]

◆ Tensor() [4/12]

◆ Tensor() [5/12]

◆ Tensor() [6/12]

◆ Tensor() [7/12]

◆ Tensor() [8/12]

◆ Tensor() [9/12]

◆ Tensor() [10/12]

◆ Tensor() [11/12]

◆ Tensor() [12/12]

Member Function Documentation

◆ operator=() [1/5]

◆ xx() [1/2]

◆ xy() [1/2]

◆ xz() [1/2]

◆ yx() [1/2]

◆ yy() [1/2]

◆ yz() [1/2]

◆ zx() [1/2]

◆ zy() [1/2]

◆ zz() [1/2]

◆ xx() [2/2]

◆ xy() [2/2]

◆ xz() [2/2]

◆ yx() [2/2]

◆ yy() [2/2]

◆ yz() [2/2]

◆ zx() [2/2]

◆ zy() [2/2]

◆ zz() [2/2]

◆ cx()

◆ cy()

◆ cz()

◆ col() [1/5]

◆ col() [2/5]

◆ col() [3/5]

◆ col() [4/5]

◆ cols()

◆ x()

◆ y()

◆ z()

◆ row() [1/5]

◆ row() [2/5]

◆ row() [3/5]

◆ row() [4/5]

◆ rows()

◆ diag() [1/2]

◆ diag() [2/2]

◆ addDiag()

◆ subtractDiag()

◆ diagSqr()

◆ is_identity()

◆ T()

◆ det()

◆ det2D()

◆ adjunct()

◆ cof()

◆ adjunct2D()

◆ inv()

◆ safeInv()

◆ inv2D()

◆ inner()

◆ schur()

◆ operator&=()

◆ operator=() [2/5]

◆ operator=() [3/5]

◆ operator=() [4/5]

◆ operator=() [5/5]